25879903063560 has 2048 divisors, whose sum is σ = 114552668160000. Its totient is φ = 5045297725440.

The previous prime is 25879903063529. The next prime is 25879903063631. The reversal of 25879903063560 is 6536030997852.

25879903063560 is a `hidden beast` number, since 2 + 5 + 8 + 7 + 9 + 9 + 0 + 3 + 0 + 63 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 14466127146 + ... + 14466128934.

It is an arithmetic number, because the mean of its divisors is an integer number (55933920000).

Almost surely, 2^{25879903063560} is an apocalyptic number.

25879903063560 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 25879903063560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57276334080000).

25879903063560 is an abundant number, since it is smaller than the sum of its proper divisors (88672765096440).

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

25879903063560 is a wasteful number, since it uses less digits than its factorization.

25879903063560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 25879903063560 in words is "twenty-five trillion, eight hundred seventy-nine billion, nine hundred three million, sixty-three thousand, five hundred sixty".