25618811040 has 72 divisors (see below), whose sum is σ = 87424197588. Its totient is φ = 6831682560.

The previous prime is 25618811039. The next prime is 25618811069. The reversal of 25618811040 is 4011881652.

25618811040 is a `hidden beast` number, since 2 + 561 + 8 + 81 + 10 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21824743824 + 3794067216 = 147732^2 + 61596^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 = 25618810986 and 25618811004.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8893981 + ... + 8896860.

Almost surely, 2^25618811040 is an apocalyptic number.

25618811040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25618811040 is an abundant number, since it is smaller than the sum of its proper divisors (61805386548).

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

25618811040 is a wasteful number, since it uses less digits than its factorization.

25618811040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17790862 (or 17790851 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 25618811040 in words is "twenty-five billion, six hundred eighteen million, eight hundred eleven thousand, forty".