25388200656 has 960 divisors, whose sum is σ = 99316143360. Its totient is φ = 6207860736.

The previous prime is 25388200631. The next prime is 25388200667. The reversal of 25388200656 is 65600288352.

25388200656 is a `hidden beast` number, since 2 + 5 + 388 + 200 + 65 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 378928335 + ... + 378928401.

It is an arithmetic number, because the mean of its divisors is an integer number (103454316).

Almost surely, 2^25388200656 is an apocalyptic number.

25388200656 is a gapful number since it is divisible by the number (26) 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 25388200656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49658071680).

25388200656 is an abundant number, since it is smaller than the sum of its proper divisors (73927942704).

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

25388200656 is a wasteful number, since it uses less digits than its factorization.

25388200656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 25388200656 in words is "twenty-five billion, three hundred eighty-eight million, two hundred thousand, six hundred fifty-six".