25668423538560 has 1280 divisors, whose sum is σ = 105366351467520. Its totient is φ = 5894000640000.

The previous prime is 25668423538559. The next prime is 25668423538579. The reversal of 25668423538560 is 6583532486652.

25668423538560 is a `hidden beast` number, since 2 + 5 + 6 + 6 + 8 + 4 + 2 + 35 + 38 + 560 = 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 159 ways as a sum of consecutive naturals, for example, 1350889060 + ... + 1350908060.

It is an arithmetic number, because the mean of its divisors is an integer number (82317462084).

Almost surely, 2^{25668423538560} is an apocalyptic number.

25668423538560 is a gapful number since it is divisible by the number (20) 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 25668423538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52683175733760).

25668423538560 is an abundant number, since it is smaller than the sum of its proper divisors (79697927928960).

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

25668423538560 is a wasteful number, since it uses less digits than its factorization.

25668423538560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19169 (or 19148 counting only the distinct ones).

The product of its (nonzero) digits is 248832000, while the sum is 63.

The spelling of 25668423538560 in words is "twenty-five trillion, six hundred sixty-eight billion, four hundred twenty-three million, five hundred thirty-eight thousand, five hundred sixty".