25319561188608 has 216 divisors, whose sum is σ = 75810319894400. Its totient is φ = 8439838612992.

The previous prime is 25319561188553. The next prime is 25319561188639. The reversal of 25319561188608 is 80688116591352.

25319561188608 is a `hidden beast` number, since 2 + 5 + 3 + 1 + 9 + 5 + 6 + 1 + 18 + 8 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45070473 + ... + 45628791.

Almost surely, 2^{25319561188608} 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 25319561188608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37905159947200).

25319561188608 is an abundant number, since it is smaller than the sum of its proper divisors (50490758705792).

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

25319561188608 is an frugal number, since it uses more digits than its factorization.

25319561188608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558368 (or 558324 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 63.

The spelling of 25319561188608 in words is "twenty-five trillion, three hundred nineteen billion, five hundred sixty-one million, one hundred eighty-eight thousand, six hundred eight".