125855139916800 has 1584 divisors, whose sum is σ = 549078455301120. Its totient is φ = 28154471546880.

The previous prime is 125855139916763. The next prime is 125855139916811. The reversal of 125855139916800 is 8619931558521.

125855139916800 is a `hidden beast` number, since 1 + 2 + 5 + 85 + 5 + 1 + 399 + 168 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1591794069 + ... + 1591873131.

Almost surely, 2^{125855139916800} is an apocalyptic number.

125855139916800 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 125855139916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274539227650560).

125855139916800 is an abundant number, since it is smaller than the sum of its proper divisors (423223315384320).

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

125855139916800 is a wasteful number, since it uses less digits than its factorization.

125855139916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79163 (or 79127 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 63.

The spelling of 125855139916800 in words is "one hundred twenty-five trillion, eight hundred fifty-five billion, one hundred thirty-nine million, nine hundred sixteen thousand, eight hundred".