25966292290560 has 616 divisors, whose sum is σ = 93462361044816. Its totient is φ = 6922167828480.

The previous prime is 25966292290537. The next prime is 25966292290571. The reversal of 25966292290560 is 6509229266952.

25966292290560 is a `hidden beast` number, since 2 + 5 + 9 + 6 + 6 + 292 + 290 + 56 + 0 = 666.

It is a super-2 number, since 2×25966292290560² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8162932170 + ... + 8162935350.

Almost surely, 2^{25966292290560} is an apocalyptic number.

25966292290560 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 25966292290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46731180522408).

25966292290560 is an abundant number, since it is smaller than the sum of its proper divisors (67496068754256).

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

25966292290560 is an frugal number, since it uses more digits than its factorization.

25966292290560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3245 (or 3191 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 63.

The spelling of 25966292290560 in words is "twenty-five trillion, nine hundred sixty-six billion, two hundred ninety-two million, two hundred ninety thousand, five hundred sixty".