25583980032 has 320 divisors, whose sum is σ = 84385224000. Its totient is φ = 7598997504.

The previous prime is 25583980027. The next prime is 25583980063. The reversal of 25583980032 is 23008938552.

25583980032 is a `hidden beast` number, since 2 + 558 + 3 + 98 + 0 + 0 + 3 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 25583980032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5209194 + ... + 5214102.

It is an arithmetic number, because the mean of its divisors is an integer number (263703825).

Almost surely, 2^25583980032 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 25583980032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42192612000).

25583980032 is an abundant number, since it is smaller than the sum of its proper divisors (58801243968).

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

25583980032 is a wasteful number, since it uses less digits than its factorization.

25583980032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4978 (or 4956 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 25583980032 in words is "twenty-five billion, five hundred eighty-three million, nine hundred eighty thousand, thirty-two".