25512474960 has 320 divisors, whose sum is σ = 105717043200. Its totient is φ = 5524443648.

The previous prime is 25512474919. The next prime is 25512475019. The reversal of 25512474960 is 6947421552.

25512474960 is a `hidden beast` number, since 2 + 5 + 512 + 4 + 74 + 9 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 242877 + ... + 331683.

It is an arithmetic number, because the mean of its divisors is an integer number (330365760).

Almost surely, 2^25512474960 is an apocalyptic number.

25512474960 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 25512474960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52858521600).

25512474960 is an abundant number, since it is smaller than the sum of its proper divisors (80204568240).

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

25512474960 is a wasteful number, since it uses less digits than its factorization.

25512474960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88855 (or 88843 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 25512474960 in words is "twenty-five billion, five hundred twelve million, four hundred seventy-four thousand, nine hundred sixty".