25936495902720 has 1584 divisors, whose sum is σ = 104015862273960. Its totient is φ = 6164217593856.

The previous prime is 25936495902697. The next prime is 25936495902727. The reversal of 25936495902720 is 2720959463952.

25936495902720 is a `hidden beast` number, since 2 + 5 + 9 + 36 + 4 + 9 + 590 + 2 + 7 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16518176833536 + 9418319069184 = 4064256^2 + 3068928^2 .

It is a super-2 number, since 2×25936495902720² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (25936495902727) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 894361927666 + ... + 894361927694.

Almost surely, 2^{25936495902720} is an apocalyptic number.

25936495902720 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 25936495902720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52007931136980).

25936495902720 is an abundant number, since it is smaller than the sum of its proper divisors (78079366371240).

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

25936495902720 is an frugal number, since it uses more digits than its factorization.

25936495902720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 25936495902720 in words is "twenty-five trillion, nine hundred thirty-six billion, four hundred ninety-five million, nine hundred two thousand, seven hundred twenty".