25920393679488 has 768 divisors, whose sum is σ = 89448827212800. Its totient is φ = 6574159872000.

The previous prime is 25920393679459. The next prime is 25920393679513. The reversal of 25920393679488 is 88497639302952.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1843942156 + ... + 1843956212.

It is an arithmetic number, because the mean of its divisors is an integer number (116469827100).

Almost surely, 2^{25920393679488} is an apocalyptic number.

25920393679488 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 25920393679488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44724413606400).

25920393679488 is an abundant number, since it is smaller than the sum of its proper divisors (63528433533312).

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

25920393679488 is a wasteful number, since it uses less digits than its factorization.

25920393679488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14309 (or 14290 counting only the distinct ones).

The product of its (nonzero) digits is 1410877440, while the sum is 75.

The spelling of 25920393679488 in words is "twenty-five trillion, nine hundred twenty billion, three hundred ninety-three million, six hundred seventy-nine thousand, four hundred eighty-eight".