25905980408 has 128 divisors (see below), whose sum is σ = 61754227200. Its totient is φ = 9895564800.

The previous prime is 25905980393. The next prime is 25905980413. The reversal of 25905980408 is 80408950952.

It is a super-2 number, since 2×25905980408² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9449918 + ... + 9452658.

It is an arithmetic number, because the mean of its divisors is an integer number (482454900).

Almost surely, 2^25905980408 is an apocalyptic number.

25905980408 is a gapful number since it is divisible by the number (28) 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 25905980408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30877113600).

25905980408 is an abundant number, since it is smaller than the sum of its proper divisors (35848246792).

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

25905980408 is a wasteful number, since it uses less digits than its factorization.

25905980408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3061 (or 3057 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 50.

The spelling of 25905980408 in words is "twenty-five billion, nine hundred five million, nine hundred eighty thousand, four hundred eight".