25564558880 has 192 divisors, whose sum is σ = 72401817600. Its totient is φ = 8340102144.

The previous prime is 25564558879. The next prime is 25564558933. The reversal of 25564558880 is 8885546552.

It is a Harshad number since it is a multiple of its sum of digits (56).

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, 5123747 + ... + 5128733.

It is an arithmetic number, because the mean of its divisors is an integer number (377092800).

Almost surely, 2^25564558880 is an apocalyptic number.

25564558880 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 25564558880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36200908800).

25564558880 is an abundant number, since it is smaller than the sum of its proper divisors (46837258720).

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

25564558880 is a wasteful number, since it uses less digits than its factorization.

25564558880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5231 (or 5223 counting only the distinct ones).

The product of its (nonzero) digits is 15360000, while the sum is 56.

The spelling of 25564558880 in words is "twenty-five billion, five hundred sixty-four million, five hundred fifty-eight thousand, eight hundred eighty".