125780311641600 has 4320 divisors, whose sum is σ = 595373322525696. Its totient is φ = 25573161369600.

The previous prime is 125780311641577. The next prime is 125780311641613. The reversal of 125780311641600 is 6146113087521.

125780311641600 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 8 + 0 + 31 + 1 + 6 + 4 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 431 ways as a sum of consecutive naturals, for example, 342725644617 + ... + 342725644983.

Almost surely, 2^{125780311641600} is an apocalyptic number.

125780311641600 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 125780311641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297686661262848).

125780311641600 is an abundant number, since it is smaller than the sum of its proper divisors (469593010884096).

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

125780311641600 is an frugal number, since it uses more digits than its factorization.

125780311641600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 125780311641600 in words is "one hundred twenty-five trillion, seven hundred eighty billion, three hundred eleven million, six hundred forty-one thousand, six hundred".