25792572960 has 1728 divisors, whose sum is σ = 123794697600. Its totient is φ = 4981616640.

The previous prime is 25792572947. The next prime is 25792572961. The reversal of 25792572960 is 6927529752.

25792572960 is a `hidden beast` number, since 2 + 5 + 7 + 9 + 2 + 572 + 9 + 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 = 25792572897 and 25792572906.

It is not an unprimeable number, because it can be changed into a prime (25792572961) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 486652294 + ... + 486652346.

It is an arithmetic number, because the mean of its divisors is an integer number (71640450).

Almost surely, 2^25792572960 is an apocalyptic number.

25792572960 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 25792572960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61897348800).

25792572960 is an abundant number, since it is smaller than the sum of its proper divisors (98002124640).

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

25792572960 is a wasteful number, since it uses less digits than its factorization.

25792572960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 25792572960 in words is "twenty-five billion, seven hundred ninety-two million, five hundred seventy-two thousand, nine hundred sixty".