125924198400 has 2592 divisors, whose sum is σ = 635598381600. Its totient is φ = 24153292800.

The previous prime is 125924198339. The next prime is 125924198417. The reversal of 125924198400 is 4891429521.

It is a happy number.

125924198400 is a `hidden beast` number, since 1 + 2 + 59 + 2 + 4 + 198 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 9686476794 + ... + 9686476806.

It is an arithmetic number, because the mean of its divisors is an integer number (245215425).

Almost surely, 2^125924198400 is an apocalyptic number.

125924198400 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 125924198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317799190800).

125924198400 is an abundant number, since it is smaller than the sum of its proper divisors (509674183200).

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

125924198400 is a wasteful number, since it uses less digits than its factorization.

125924198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 125924198400 in words is "one hundred twenty-five billion, nine hundred twenty-four million, one hundred ninety-eight thousand, four hundred".