25985633040 has 60 divisors (see below), whose sum is σ = 87268420044. Its totient is φ = 6929501952.

The previous prime is 25985633029. The next prime is 25985633087. The reversal of 25985633040 is 4033658952.

25985633040 is a `hidden beast` number, since 2 + 5 + 9 + 8 + 5 + 633 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5890869504 + 20094763536 = 76752^2 + 141756^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×25985633040³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 18044859 + ... + 18046298.

Almost surely, 2^25985633040 is an apocalyptic number.

25985633040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25985633040 is an abundant number, since it is smaller than the sum of its proper divisors (61282787004).

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

25985633040 is a wasteful number, since it uses less digits than its factorization.

25985633040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36091176 (or 36091167 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 25985633040 in words is "twenty-five billion, nine hundred eighty-five million, six hundred thirty-three thousand, forty".