25768006557696 has 560 divisors, whose sum is σ = 82727124969600. Its totient is φ = 7926673637376.

The previous prime is 25768006557637. The next prime is 25768006557697. The reversal of 25768006557696 is 69675560086752.

25768006557696 is a `hidden beast` number, since 2 + 5 + 7 + 6 + 8 + 0 + 0 + 6 + 557 + 69 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25768006557697) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6317234185 + ... + 6317238263.

Almost surely, 2^{25768006557696} is an apocalyptic number.

25768006557696 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 25768006557696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41363562484800).

25768006557696 is an abundant number, since it is smaller than the sum of its proper divisors (56959118411904).

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

25768006557696 is an frugal number, since it uses more digits than its factorization.

25768006557696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4166 (or 4097 counting only the distinct ones).

The product of its (nonzero) digits is 1143072000, while the sum is 72.

The spelling of 25768006557696 in words is "twenty-five trillion, seven hundred sixty-eight billion, six million, five hundred fifty-seven thousand, six hundred ninety-six".