25135810560 has 576 divisors, whose sum is σ = 101802355200. Its totient is φ = 5616304128.

The previous prime is 25135810541. The next prime is 25135810573. The reversal of 25135810560 is 6501853152.

It is a happy number.

25135810560 is a `hidden beast` number, since 2 + 5 + 13 + 5 + 81 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30320226 + ... + 30321054.

It is an arithmetic number, because the mean of its divisors is an integer number (176740200).

Almost surely, 2^25135810560 is an apocalyptic number.

25135810560 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 25135810560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50901177600).

25135810560 is an abundant number, since it is smaller than the sum of its proper divisors (76666544640).

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

25135810560 is a wasteful number, since it uses less digits than its factorization.

25135810560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 25135810560 in words is "twenty-five billion, one hundred thirty-five million, eight hundred ten thousand, five hundred sixty".