25356881664 has 108 divisors (see below), whose sum is σ = 73160581312. Its totient is φ = 8446464000.

The previous prime is 25356881617. The next prime is 25356881677. The reversal of 25356881664 is 46618865352.

25356881664 is a `hidden beast` number, since 2 + 5 + 3 + 568 + 8 + 16 + 64 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 25356881664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4492284 + ... + 4497924.

Almost surely, 2^25356881664 is an apocalyptic number.

25356881664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25356881664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36580290656).

25356881664 is an abundant number, since it is smaller than the sum of its proper divisors (47803699648).

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

25356881664 is a wasteful number, since it uses less digits than its factorization.

25356881664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7614 (or 7597 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

It can be divided in two parts, 2535688 and 1664, that added together give a palindrome (2537352).

The spelling of 25356881664 in words is "twenty-five billion, three hundred fifty-six million, eight hundred eighty-one thousand, six hundred sixty-four".