25974336960 has 448 divisors, whose sum is σ = 107656335360. Its totient is φ = 5812162560.

The previous prime is 25974336919. The next prime is 25974336961. The reversal of 25974336960 is 6963347952.

25974336960 is a `hidden beast` number, since 2 + 5 + 97 + 433 + 69 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 25974336897 and 25974336906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25974336961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1225009 + ... + 1246031.

It is an arithmetic number, because the mean of its divisors is an integer number (240304320).

Almost surely, 2^25974336960 is an apocalyptic number.

25974336960 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 25974336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53828167680).

25974336960 is an abundant number, since it is smaller than the sum of its proper divisors (81681998400).

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

25974336960 is a wasteful number, since it uses less digits than its factorization.

25974336960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21073 (or 21057 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 25974336960 in words is "twenty-five billion, nine hundred seventy-four million, three hundred thirty-six thousand, nine hundred sixty".