725174933088 has 192 divisors, whose sum is σ = 1944377229312. Its totient is φ = 236597475840.

The previous prime is 725174933081. The next prime is 725174933113. The reversal of 725174933088 is 880339471527.

725174933088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725174933081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1061749195 + ... + 1061749877.

It is an arithmetic number, because the mean of its divisors is an integer number (10126964736).

Almost surely, 2^725174933088 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 725174933088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972188614656).

725174933088 is an abundant number, since it is smaller than the sum of its proper divisors (1219202296224).

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

725174933088 is a wasteful number, since it uses less digits than its factorization.

725174933088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 725174933088 in words is "seven hundred twenty-five billion, one hundred seventy-four million, nine hundred thirty-three thousand, eighty-eight".