25314163647360 has 768 divisors, whose sum is σ = 95365667105280. Its totient is φ = 5693751705600.

The previous prime is 25314163647349. The next prime is 25314163647419. The reversal of 25314163647360 is 6374636141352.

25314163647360 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 3814093962 + ... + 3814100598.

It is an arithmetic number, because the mean of its divisors is an integer number (124174045710).

Almost surely, 2^{25314163647360} is an apocalyptic number.

25314163647360 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 25314163647360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47682833552640).

25314163647360 is an abundant number, since it is smaller than the sum of its proper divisors (70051503457920).

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

25314163647360 is a wasteful number, since it uses less digits than its factorization.

25314163647360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7315 (or 7296 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 51.

The spelling of 25314163647360 in words is "twenty-five trillion, three hundred fourteen billion, one hundred sixty-three million, six hundred forty-seven thousand, three hundred sixty".