25255912680 has 192 divisors, whose sum is σ = 86858853120. Its totient is φ = 6351206400.

The previous prime is 25255912679. The next prime is 25255912687. The reversal of 25255912680 is 8621955252.

25255912680 is a `hidden beast` number, since 2 + 5 + 2 + 559 + 12 + 6 + 80 = 666.

It is a super-2 number, since 2×25255912680² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (25255912687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 566400 + ... + 609360.

It is an arithmetic number, because the mean of its divisors is an integer number (452389860).

Almost surely, 2^25255912680 is an apocalyptic number.

25255912680 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 25255912680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43429426560).

25255912680 is an abundant number, since it is smaller than the sum of its proper divisors (61602940440).

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

25255912680 is a wasteful number, since it uses less digits than its factorization.

25255912680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43072 (or 43065 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 25255912680 in words is "twenty-five billion, two hundred fifty-five million, nine hundred twelve thousand, six hundred eighty".