125857346400 has 360 divisors, whose sum is σ = 473790550464. Its totient is φ = 32478796800.

The previous prime is 125857346383. The next prime is 125857346401. The reversal of 125857346400 is 4643758521.

125857346400 is a `hidden beast` number, since 1 + 2 + 585 + 7 + 3 + 4 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125857346401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1977474 + ... + 2040126.

Almost surely, 2^125857346400 is an apocalyptic number.

125857346400 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 125857346400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236895275232).

125857346400 is an abundant number, since it is smaller than the sum of its proper divisors (347933204064).

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

125857346400 is a wasteful number, since it uses less digits than its factorization.

125857346400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62716 (or 62694 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 125857346400 in words is "one hundred twenty-five billion, eight hundred fifty-seven million, three hundred forty-six thousand, four hundred".