25053152256 has 440 divisors, whose sum is σ = 82675939104. Its totient is φ = 7524679680.

The previous prime is 25053152233. The next prime is 25053152279. The reversal of 25053152256 is 65225135052.

25053152256 is a `hidden beast` number, since 2 + 50 + 5 + 31 + 522 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (25053152233) and next prime (25053152279).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 25053152256.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 221709256 + ... + 221709368.

Almost surely, 2^25053152256 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 25053152256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41337969552).

25053152256 is an abundant number, since it is smaller than the sum of its proper divisors (57622786848).

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

25053152256 is an frugal number, since it uses more digits than its factorization.

25053152256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 25053152256 in words is "twenty-five billion, fifty-three million, one hundred fifty-two thousand, two hundred fifty-six".