25880268960 has 768 divisors, whose sum is σ = 114151403520. Its totient is φ = 5329981440.

The previous prime is 25880268919. The next prime is 25880269021. The reversal of 25880268960 is 6986208852.

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 = 25880268897 and 25880268906.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16903395 + ... + 16904925.

It is an arithmetic number, because the mean of its divisors is an integer number (148634640).

Almost surely, 2^25880268960 is an apocalyptic number.

25880268960 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 25880268960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57075701760).

25880268960 is an abundant number, since it is smaller than the sum of its proper divisors (88271134560).

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

25880268960 is a wasteful number, since it uses less digits than its factorization.

25880268960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 25880268960 in words is "twenty-five billion, eight hundred eighty million, two hundred sixty-eight thousand, nine hundred sixty".