715625923120128 has 704 divisors, whose sum is σ = 2193305961369600. Its totient is φ = 230347847761920.

The previous prime is 715625923120117. The next prime is 715625923120159. The reversal of 715625923120128 is 821021329526517.

715625923120128 is a `hidden beast` number, since 7 + 1 + 5 + 6 + 2 + 592 + 3 + 1 + 20 + 1 + 28 = 666.

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 63 ways as a sum of consecutive naturals, for example, 45244091676 + ... + 45244107492.

It is an arithmetic number, because the mean of its divisors is an integer number (3115491422400).

Almost surely, 2^{715625923120128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 715625923120128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096652980684800).

715625923120128 is an abundant number, since it is smaller than the sum of its proper divisors (1477680038249472).

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

715625923120128 is a wasteful number, since it uses less digits than its factorization.

715625923120128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16293 (or 16269 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 715625923120128 in words is "seven hundred fifteen trillion, six hundred twenty-five billion, nine hundred twenty-three million, one hundred twenty thousand, one hundred twenty-eight".