125732596550400 has 6912 divisors, whose sum is σ = 619511348736000. Its totient is φ = 24560554475520.

The previous prime is 125732596550389. The next prime is 125732596550441. The reversal of 125732596550400 is 4055695237521.

125732596550400 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 3 + 2 + 596 + 5 + 5 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 917756179132 + ... + 917756179268.

It is an arithmetic number, because the mean of its divisors is an integer number (89628378000).

Almost surely, 2^{125732596550400} is an apocalyptic number.

125732596550400 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 125732596550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309755674368000).

125732596550400 is an abundant number, since it is smaller than the sum of its proper divisors (493778752185600).

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

125732596550400 is a wasteful number, since it uses less digits than its factorization.

125732596550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 11340000, while the sum is 54.

The spelling of 125732596550400 in words is "one hundred twenty-five trillion, seven hundred thirty-two billion, five hundred ninety-six million, five hundred fifty thousand, four hundred".