725927925982896 has 2880 divisors, whose sum is σ = 2774403446814720. Its totient is φ = 180577942272000.

The previous prime is 725927925982859. The next prime is 725927925982907. The reversal of 725927925982896 is 698289529729527.

725927925982896 is a `hidden beast` number, since 7 + 2 + 5 + 9 + 2 + 7 + 9 + 2 + 598 + 2 + 8 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 4807469708421 + ... + 4807469708571.

It is an arithmetic number, because the mean of its divisors is an integer number (963334530144).

Almost surely, 2^{725927925982896} 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 725927925982896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387201723407360).

725927925982896 is an abundant number, since it is smaller than the sum of its proper divisors (2048475520831824).

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

725927925982896 is a wasteful number, since it uses less digits than its factorization.

725927925982896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 260 counting only the distinct ones).

The product of its digits is 49380710400, while the sum is 90.

The spelling of 725927925982896 in words is "seven hundred twenty-five trillion, nine hundred twenty-seven billion, nine hundred twenty-five million, nine hundred eighty-two thousand, eight hundred ninety-six".