25881052102656 has 360 divisors, whose sum is σ = 74243709765120. Its totient is φ = 8016419094528.

The previous prime is 25881052102651. The next prime is 25881052102691. The reversal of 25881052102656 is 65620125018852.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 25881052102599 and 25881052102608.

It is not an unprimeable number, because it can be changed into a prime (25881052102651) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1122177781 + ... + 1122200843.

Almost surely, 2^{25881052102656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25881052102656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37121854882560).

25881052102656 is an abundant number, since it is smaller than the sum of its proper divisors (48362657662464).

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

25881052102656 is an equidigital number, since it uses as much as digits as its factorization.

25881052102656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23207 (or 23164 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 51.

The spelling of 25881052102656 in words is "twenty-five trillion, eight hundred eighty-one billion, fifty-two million, one hundred two thousand, six hundred fifty-six".