25633967040 has 672 divisors, whose sum is σ = 104074813440. Its totient is φ = 5723136000.

The previous prime is 25633967039. The next prime is 25633967081. The reversal of 25633967040 is 4076933652.

25633967040 is a `hidden beast` number, since 2 + 5 + 633 + 9 + 6 + 7 + 0 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22270465 + ... + 22271615.

Almost surely, 2^25633967040 is an apocalyptic number.

25633967040 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 25633967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52037406720).

25633967040 is an abundant number, since it is smaller than the sum of its proper divisors (78440846400).

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

25633967040 is a wasteful number, since it uses less digits than its factorization.

25633967040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 25633967040 in words is "twenty-five billion, six hundred thirty-three million, nine hundred sixty-seven thousand, forty".