25920108864 has 560 divisors, whose sum is σ = 90048161280. Its totient is φ = 7300730880.

The previous prime is 25920108839. The next prime is 25920108943. The reversal of 25920108864 is 46880102952.

It is a super-2 number, since 2×25920108864² (a number of 22 digits) contains 22 as substring.

25920108864 is a modest number, since divided by 108864 gives 25920 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39693562 + ... + 39694214.

It is an arithmetic number, because the mean of its divisors is an integer number (160800288).

Almost surely, 2^25920108864 is an apocalyptic number.

25920108864 is a gapful number since it is divisible by the number (24) 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 25920108864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45024080640).

25920108864 is an abundant number, since it is smaller than the sum of its proper divisors (64128052416).

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

25920108864 is a wasteful number, since it uses less digits than its factorization.

25920108864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 25920108864 in words is "twenty-five billion, nine hundred twenty million, one hundred eight thousand, eight hundred sixty-four".