25751615040 has 448 divisors, whose sum is σ = 96619161600. Its totient is φ = 6438279168.

The previous prime is 25751615033. The next prime is 25751615053. The reversal of 25751615040 is 4051615752.

25751615040 is a `hidden beast` number, since 2 + 57 + 516 + 1 + 50 + 40 = 666.

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 = 25751614986 and 25751615004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16907719 + ... + 16909241.

Almost surely, 2^25751615040 is an apocalyptic number.

25751615040 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 25751615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48309580800).

25751615040 is an abundant number, since it is smaller than the sum of its proper divisors (70867546560).

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

25751615040 is a wasteful number, since it uses less digits than its factorization.

25751615040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 25751615040 in words is "twenty-five billion, seven hundred fifty-one million, six hundred fifteen thousand, forty".