25768688686752 has 144 divisors (see below), whose sum is σ = 75087339205536. Its totient is φ = 7731379392000.

The previous prime is 25768688686711. The next prime is 25768688686777.

It is a happy number.

25768688686752 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×25768688686752³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9808858 + ... + 12155289.

It is an arithmetic number, because the mean of its divisors is an integer number (521439855594).

Almost surely, 2^{25768688686752} is an apocalyptic number.

25768688686752 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

25768688686752 is an abundant number, since it is smaller than the sum of its proper divisors (49318650518784).

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

25768688686752 is a wasteful number, since it uses less digits than its factorization.

25768688686752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21964283 (or 21964264 counting only the distinct ones).

The product of its digits is 26011238400, while the sum is 84.

The spelling of 25768688686752 in words is "twenty-five trillion, seven hundred sixty-eight billion, six hundred eighty-eight million, six hundred eighty-six thousand, seven hundred fifty-two".