25683396940656 has 800 divisors, whose sum is σ = 95621238599040. Its totient is φ = 6472562245632.

The previous prime is 25683396940639. The next prime is 25683396940687. The reversal of 25683396940656 is 65604969338652.

25683396940656 is a `hidden beast` number, since 2 + 5 + 6 + 83 + 3 + 96 + 9 + 406 + 56 = 666.

It is a super-2 number, since 2×25683396940656² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 331715260 + ... + 331792676.

Almost surely, 2^{25683396940656} is an apocalyptic number.

25683396940656 is a gapful number since it is divisible by the number (26) 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 25683396940656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47810619299520).

25683396940656 is an abundant number, since it is smaller than the sum of its proper divisors (69937841658384).

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

25683396940656 is a wasteful number, since it uses less digits than its factorization.

25683396940656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77583 (or 77568 counting only the distinct ones).

The product of its (nonzero) digits is 1511654400, while the sum is 72.

The spelling of 25683396940656 in words is "twenty-five trillion, six hundred eighty-three billion, three hundred ninety-six million, nine hundred forty thousand, six hundred fifty-six".