25888256640 has 256 divisors, whose sum is σ = 93822537600. Its totient is φ = 6742794240.

The previous prime is 25888256627. The next prime is 25888256657. The reversal of 25888256640 is 4665288852.

It is a happy number.

25888256640 is a `hidden beast` number, since 2 + 588 + 8 + 2 + 56 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 725620 + ... + 760460.

Almost surely, 2^25888256640 is an apocalyptic number.

25888256640 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 25888256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46911268800).

25888256640 is an abundant number, since it is smaller than the sum of its proper divisors (67934280960).

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

25888256640 is a wasteful number, since it uses less digits than its factorization.

25888256640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34912 (or 34894 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 25888256640 in words is "twenty-five billion, eight hundred eighty-eight million, two hundred fifty-six thousand, six hundred forty".