25864788595968 has 720 divisors, whose sum is σ = 94199839138944. Its totient is φ = 6890164715520.

The previous prime is 25864788595927. The next prime is 25864788596011. The reversal of 25864788595968 is 86959588746852.

25864788595968 is a `hidden beast` number, since 2 + 5 + 8 + 6 + 4 + 7 + 8 + 8 + 5 + 9 + 596 + 8 = 666.

It is a super-2 number, since 2×25864788595968² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 263982508 + ... + 264080468.

Almost surely, 2^{25864788595968} is an apocalyptic number.

25864788595968 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 25864788595968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47099919569472).

25864788595968 is an abundant number, since it is smaller than the sum of its proper divisors (68335050542976).

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

25864788595968 is a wasteful number, since it uses less digits than its factorization.

25864788595968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98120 (or 98097 counting only the distinct ones).

The product of its digits is 83607552000, while the sum is 90.

The spelling of 25864788595968 in words is "twenty-five trillion, eight hundred sixty-four billion, seven hundred eighty-eight million, five hundred ninety-five thousand, nine hundred sixty-eight".