10756386368 has 112 divisors (see below), whose sum is σ = 26333744640. Its totient is φ = 4245018624.

The previous prime is 10756386359. The next prime is 10756386373. The reversal of 10756386368 is 86368365701.

It is a happy number.

It is a Cunningham number, because it is equal to 103713²-1.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 2694518 + ... + 2698506.

It is an arithmetic number, because the mean of its divisors is an integer number (235122720).

Almost surely, 2^10756386368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10756386368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13166872320).

10756386368 is an abundant number, since it is smaller than the sum of its proper divisors (15577358272).

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

10756386368 is a wasteful number, since it uses less digits than its factorization.

10756386368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4484 (or 4474 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 53.

The spelling of 10756386368 in words is "ten billion, seven hundred fifty-six million, three hundred eighty-six thousand, three hundred sixty-eight".