25512621552 has 360 divisors, whose sum is σ = 81813513600. Its totient is φ = 7408051200.

The previous prime is 25512621539. The next prime is 25512621571.

25512621552 is a `hidden beast` number, since 25 + 5 + 1 + 2 + 621 + 5 + 5 + 2 = 666.

25512621552 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80481298 + ... + 80481614.

It is an arithmetic number, because the mean of its divisors is an integer number (227259760).

Almost surely, 2^25512621552 is an apocalyptic number.

25512621552 is a gapful number since it is divisible by the number (22) 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 25512621552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40906756800).

25512621552 is an abundant number, since it is smaller than the sum of its proper divisors (56300892048).

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

25512621552 is a wasteful number, since it uses less digits than its factorization.

25512621552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 513 counting only the distinct ones).

The product of its digits is 60000, while the sum is 36.

The spelling of 25512621552 in words is "twenty-five billion, five hundred twelve million, six hundred twenty-one thousand, five hundred fifty-two".