25791121622016 has 99 divisors (see below), whose sum is σ = 74472711755533. Its totient is φ = 8596878028800.

The previous prime is 25791121621933. The next prime is 25791121622033. The reversal of 25791121622016 is 61022612119752.

The square root of 25791121622016 is 5078496.

It is a perfect power (a square), and thus also a powerful number.

25791121622016 is a `hidden beast` number, since 2 + 5 + 7 + 9 + 1 + 1 + 2 + 1 + 622 + 0 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25789171516416 + 1950105600 = 5078304^2 + 44160^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 487509166 + ... + 487562066.

Almost surely, 2^{25791121622016} is an apocalyptic number.

25791121622016 is the 5078496-th square number.

It is an amenable number.

25791121622016 is an abundant number, since it is smaller than the sum of its proper divisors (48681590133517).

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

25791121622016 is an frugal number, since it uses more digits than its factorization.

25791121622016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105828 (or 52906 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 25791121622016 in words is "twenty-five trillion, seven hundred ninety-one billion, one hundred twenty-one million, six hundred twenty-two thousand, sixteen".