25791609231360 has 2304 divisors, whose sum is σ = 112252428288000. Its totient is φ = 5344194723840.

The previous prime is 25791609231343. The next prime is 25791609231413. The reversal of 25791609231360 is 6313290619752.

25791609231360 is a `hidden beast` number, since 2 + 5 + 7 + 9 + 1 + 609 + 23 + 1 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a junction number, because it is equal to n+sod(n) for n = 25791609231297 and 25791609231306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39137494711 + ... + 39137495369.

It is an arithmetic number, because the mean of its divisors is an integer number (48720672000).

Almost surely, 2^{25791609231360} is an apocalyptic number.

25791609231360 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 25791609231360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56126214144000).

25791609231360 is an abundant number, since it is smaller than the sum of its proper divisors (86460819056640).

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

25791609231360 is a wasteful number, since it uses less digits than its factorization.

25791609231360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 25791609231360 in words is "twenty-five trillion, seven hundred ninety-one billion, six hundred nine million, two hundred thirty-one thousand, three hundred sixty".