125324258400 has 2304 divisors, whose sum is σ = 583162675200. Its totient is φ = 25546752000.

The previous prime is 125324258369. The next prime is 125324258413. The reversal of 125324258400 is 4852423521.

125324258400 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 242 + 5 + 8 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1765130365 + ... + 1765130435.

It is an arithmetic number, because the mean of its divisors is an integer number (253108800).

Almost surely, 2^125324258400 is an apocalyptic number.

125324258400 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 125324258400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291581337600).

125324258400 is an abundant number, since it is smaller than the sum of its proper divisors (457838416800).

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

125324258400 is a wasteful number, since it uses less digits than its factorization.

125324258400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 125324258400 in words is "one hundred twenty-five billion, three hundred twenty-four million, two hundred fifty-eight thousand, four hundred".