125991876600 has 768 divisors, whose sum is σ = 476594496000. Its totient is φ = 30481920000.

The previous prime is 125991876509. The next prime is 125991876613. The reversal of 125991876600 is 6678199521.

125991876600 = 1051³ + 1052³ + ... + 1145³.

125991876600 is a `hidden beast` number, since 1 + 25 + 9 + 9 + 1 + 8 + 7 + 6 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 256602355 + ... + 256602845.

It is an arithmetic number, because the mean of its divisors is an integer number (620565750).

Almost surely, 2^125991876600 is an apocalyptic number.

125991876600 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 125991876600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238297248000).

125991876600 is an abundant number, since it is smaller than the sum of its proper divisors (350602619400).

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

125991876600 is a wasteful number, since it uses less digits than its factorization.

125991876600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 125991876600 in words is "one hundred twenty-five billion, nine hundred ninety-one million, eight hundred seventy-six thousand, six hundred".