25135097040 has 400 divisors, whose sum is σ = 92826447120. Its totient is φ = 6281625600.

The previous prime is 25135097033. The next prime is 25135097077. The reversal of 25135097040 is 4079053152.

25135097040 is a `hidden beast` number, since 2 + 513 + 50 + 97 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1372257936 + 23762839104 = 37044^2 + 154152^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 25135096986 and 25135097004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44173876 + ... + 44174444.

Almost surely, 2^25135097040 is an apocalyptic number.

25135097040 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 25135097040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46413223560).

25135097040 is an abundant number, since it is smaller than the sum of its proper divisors (67691350080).

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

25135097040 is a wasteful number, since it uses less digits than its factorization.

25135097040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 25135097040 in words is "twenty-five billion, one hundred thirty-five million, ninety-seven thousand, forty".