25769434990068 has 432 divisors, whose sum is σ = 84051675052800. Its totient is φ = 6648974640000.

The previous prime is 25769434990021. The next prime is 25769434990073. The reversal of 25769434990068 is 86009943496752.

25769434990068 is a `hidden beast` number, since 2 + 5 + 76 + 9 + 4 + 3 + 499 + 0 + 0 + 68 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 25769434989978 and 25769434990005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 225553198 + ... + 225667418.

Almost surely, 2^{25769434990068} is an apocalyptic number.

25769434990068 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 25769434990068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42025837526400).

25769434990068 is an abundant number, since it is smaller than the sum of its proper divisors (58282240062732).

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

25769434990068 is a wasteful number, since it uses less digits than its factorization.

25769434990068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114425 (or 114395 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 25769434990068 in words is "twenty-five trillion, seven hundred sixty-nine billion, four hundred thirty-four million, nine hundred ninety thousand, sixty-eight".