10265568768 has 240 divisors, whose sum is σ = 36465645216. Its totient is φ = 2707292160.

The previous prime is 10265568757. The next prime is 10265568787. The reversal of 10265568768 is 86786556201.

10265568768 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 5 + 568 + 76 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 407088 + ... + 431568.

Almost surely, 2^10265568768 is an apocalyptic number.

10265568768 is a gapful number since it is divisible by the number (18) 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 10265568768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18232822608).

10265568768 is an abundant number, since it is smaller than the sum of its proper divisors (26200076448).

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

10265568768 is a wasteful number, since it uses less digits than its factorization.

10265568768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24525 (or 24506 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 10265568768 in words is "ten billion, two hundred sixty-five million, five hundred sixty-eight thousand, seven hundred sixty-eight".