25663345344 has 280 divisors, whose sum is σ = 93631499808. Its totient is φ = 6768230400.

The previous prime is 25663345313. The next prime is 25663345361. The reversal of 25663345344 is 44354336652.

25663345344 is a `hidden beast` number, since 2 + 5 + 6 + 633 + 4 + 5 + 3 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 25663345344.

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, 444544 + ... + 498944.

Almost surely, 2^25663345344 is an apocalyptic number.

25663345344 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 25663345344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46815749904).

25663345344 is an abundant number, since it is smaller than the sum of its proper divisors (67968154464).

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

25663345344 is a wasteful number, since it uses less digits than its factorization.

25663345344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54445 (or 54426 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 45.

The spelling of 25663345344 in words is "twenty-five billion, six hundred sixty-three million, three hundred forty-five thousand, three hundred forty-four".