125699331600 has 180 divisors, whose sum is σ = 452367932016. Its totient is φ = 33519795840.

The previous prime is 125699331577. The next prime is 125699331607. The reversal of 125699331600 is 6133996521.

125699331600 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 9 + 9 + 3 + 31 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (125699331607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 549402 + ... + 743801.

Almost surely, 2^125699331600 is an apocalyptic number.

125699331600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125699331600 is an abundant number, since it is smaller than the sum of its proper divisors (326668600416).

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

125699331600 is a wasteful number, since it uses less digits than its factorization.

125699331600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293236 (or 1293213 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 125699331600 in words is "one hundred twenty-five billion, six hundred ninety-nine million, three hundred thirty-one thousand, six hundred".