25922435422464 has 405 divisors, whose sum is σ = 89933574150651. Its totient is φ = 7404943795200.

The previous prime is 25922435422451. The next prime is 25922435422487. The reversal of 25922435422464 is 46422453422952.

The square root of 25922435422464 is 5091408.

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

25922435422464 is a `hidden beast` number, since 2 + 5 + 9 + 2 + 2 + 4 + 354 + 224 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 25922435422464.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5132136739 + ... + 5132141789.

Almost surely, 2^{25922435422464} is an apocalyptic number.

25922435422464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

25922435422464 is the 5091408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25922435422464

25922435422464 is an abundant number, since it is smaller than the sum of its proper divisors (64011138728187).

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

25922435422464 is an frugal number, since it uses more digits than its factorization.

25922435422464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10144 (or 5063 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 54.

The spelling of 25922435422464 in words is "twenty-five trillion, nine hundred twenty-two billion, four hundred thirty-five million, four hundred twenty-two thousand, four hundred sixty-four".