25565306880 has 224 divisors, whose sum is σ = 84029848704. Its totient is φ = 6631981056.

The previous prime is 25565306867. The next prime is 25565306891. The reversal of 25565306880 is 8860356552.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4543749 + ... + 4549371.

Almost surely, 2^25565306880 is an apocalyptic number.

25565306880 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 25565306880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42014924352).

25565306880 is an abundant number, since it is smaller than the sum of its proper divisors (58464541824).

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

25565306880 is an equidigital number, since it uses as much as digits as its factorization.

25565306880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5694 (or 5670 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 25565306880 in words is "twenty-five billion, five hundred sixty-five million, three hundred six thousand, eight hundred eighty".