125909164800 has 864 divisors, whose sum is σ = 485418931200. Its totient is φ = 31896944640.

The previous prime is 125909164783. The next prime is 125909164867. The reversal of 125909164800 is 8461909521.

125909164800 is a `hidden beast` number, since 1 + 2 + 590 + 9 + 16 + 48 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 300498991 + ... + 300499409.

Almost surely, 2^125909164800 is an apocalyptic number.

125909164800 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 125909164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242709465600).

125909164800 is an abundant number, since it is smaller than the sum of its proper divisors (359509766400).

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

125909164800 is a wasteful number, since it uses less digits than its factorization.

125909164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 125909164800 in words is "one hundred twenty-five billion, nine hundred nine million, one hundred sixty-four thousand, eight hundred".