25925957280 has 192 divisors, whose sum is σ = 90819429120. Its totient is φ = 6907603968.

The previous prime is 25925957279. The next prime is 25925957327. The reversal of 25925957280 is 8275952952.

It is a happy number.

25925957280 is a `hidden beast` number, since 25 + 9 + 2 + 595 + 7 + 28 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7484829 + ... + 7488291.

It is an arithmetic number, because the mean of its divisors is an integer number (473017860).

Almost surely, 2^25925957280 is an apocalyptic number.

25925957280 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 25925957280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45409714560).

25925957280 is an abundant number, since it is smaller than the sum of its proper divisors (64893471840).

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

25925957280 is a wasteful number, since it uses less digits than its factorization.

25925957280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5220 (or 5206 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 25925957280 in words is "twenty-five billion, nine hundred twenty-five million, nine hundred fifty-seven thousand, two hundred eighty".