25498855788768 has 288 divisors, whose sum is σ = 73379401804800. Its totient is φ = 8398763900928.

The previous prime is 25498855788767. The next prime is 25498855788773. The reversal of 25498855788768 is 86788755889452.

25498855788768 is a `hidden beast` number, since 2 + 5 + 49 + 8 + 8 + 557 + 8 + 8 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25498855788767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6043812963 + ... + 6043817181.

It is an arithmetic number, because the mean of its divisors is an integer number (254789589600).

Almost surely, 2^{25498855788768} 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 25498855788768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36689700902400).

25498855788768 is an abundant number, since it is smaller than the sum of its proper divisors (47880546016032).

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

25498855788768 is a wasteful number, since it uses less digits than its factorization.

25498855788768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5134 (or 5123 counting only the distinct ones).

The product of its digits is 86704128000, while the sum is 90.

The spelling of 25498855788768 in words is "twenty-five trillion, four hundred ninety-eight billion, eight hundred fifty-five million, seven hundred eighty-eight thousand, seven hundred sixty-eight".