25820081280 has 384 divisors, whose sum is σ = 104389084800. Its totient is φ = 5757419520.

The previous prime is 25820081279. The next prime is 25820081377. The reversal of 25820081280 is 8218002852.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1645311 + ... + 1660929.

It is an arithmetic number, because the mean of its divisors is an integer number (271846575).

Almost surely, 2^25820081280 is an apocalyptic number.

25820081280 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 25820081280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52194542400).

25820081280 is an abundant number, since it is smaller than the sum of its proper divisors (78569003520).

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

25820081280 is a wasteful number, since it uses less digits than its factorization.

25820081280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15692 (or 15677 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 25820081280 in words is "twenty-five billion, eight hundred twenty million, eighty-one thousand, two hundred eighty".