125868045724400 has 240 divisors, whose sum is σ = 350926218713088. Its totient is φ = 42490984704000.

The previous prime is 125868045724363. The next prime is 125868045724453. The reversal of 125868045724400 is 4427540868521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150870809 + ... + 151702791.

Almost surely, 2^{125868045724400} is an apocalyptic number.

125868045724400 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 125868045724400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175463109356544).

125868045724400 is an abundant number, since it is smaller than the sum of its proper divisors (225058172988688).

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

125868045724400 is a wasteful number, since it uses less digits than its factorization.

125868045724400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832840 (or 832829 counting only the distinct ones).

The product of its (nonzero) digits is 17203200, while the sum is 56.

The spelling of 125868045724400 in words is "one hundred twenty-five trillion, eight hundred sixty-eight billion, forty-five million, seven hundred twenty-four thousand, four hundred".