25635584016 has 480 divisors, whose sum is σ = 89756160000. Its totient is φ = 6806612736.

The previous prime is 25635583991. The next prime is 25635584033. The reversal of 25635584016 is 61048553652.

25635584016 is a `hidden beast` number, since 2 + 5 + 63 + 5 + 584 + 0 + 1 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55368201 + ... + 55368663.

It is an arithmetic number, because the mean of its divisors is an integer number (186992000).

Almost surely, 2^25635584016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25635584016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44878080000).

25635584016 is an abundant number, since it is smaller than the sum of its proper divisors (64120575984).

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

25635584016 is a wasteful number, since it uses less digits than its factorization.

25635584016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 25635584016 in words is "twenty-five billion, six hundred thirty-five million, five hundred eighty-four thousand, sixteen".