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125500880160 = 25325374354779
BaseRepresentation
bin111010011100001101…
…1110111010100100000
3102222221101001021110200
41310320123313110200
54024011211131120
6133353155225200
712032012610615
oct1647033672440
9388841037420
10125500880160
1149251a7a877
12203a5ba8200
13bab0a48846
146107b4c50c
1533e7d9ae90
hex1d386f7520

125500880160 has 288 divisors, whose sum is σ = 450083874240. Its totient is φ = 31804545024.

The previous prime is 125500880143. The next prime is 125500880191. The reversal of 125500880160 is 61088005521.

125500880160 is a `hidden beast` number, since 12 + 5 + 500 + 8 + 80 + 1 + 60 = 666.

125500880160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2263651 + ... + 2318429.

It is an arithmetic number, because the mean of its divisors is an integer number (1562791230).

Almost surely, 2125500880160 is an apocalyptic number.

125500880160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125500880160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225041937120).

125500880160 is an abundant number, since it is smaller than the sum of its proper divisors (324582994080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125500880160 is a wasteful number, since it uses less digits than its factorization.

125500880160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54880 (or 54869 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

Adding to 125500880160 its reverse (61088005521), we get a palindrome (186588885681).

The spelling of 125500880160 in words is "one hundred twenty-five billion, five hundred million, eight hundred eighty thousand, one hundred sixty".