125818560000 has 900 divisors, whose sum is σ = 525225492792. Its totient is φ = 28394496000.

The previous prime is 125818559963. The next prime is 125818560019. The reversal of 125818560000 is 65818521.

125818560000 is a `hidden beast` number, since 12 + 5 + 81 + 8 + 560 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

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

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 89 ways as a sum of consecutive naturals, for example, 1592639961 + ... + 1592640039.

Almost surely, 2^125818560000 is an apocalyptic number.

125818560000 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 125818560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262612746396).

125818560000 is an abundant number, since it is smaller than the sum of its proper divisors (399406932792).

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

125818560000 is an frugal number, since it uses more digits than its factorization.

125818560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 96 counting only the distinct ones).

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

The spelling of 125818560000 in words is "one hundred twenty-five billion, eight hundred eighteen million, five hundred sixty thousand".