10979367736704 has 128 divisors (see below), whose sum is σ = 29353685990400. Its totient is φ = 3636046178304.

The previous prime is 10979367736627. The next prime is 10979367736763. The reversal of 10979367736704 is 40763776397901.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41621994 + ... + 41884950.

It is an arithmetic number, because the mean of its divisors is an integer number (229325671800).

Almost surely, 2^{10979367736704} 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 10979367736704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14676842995200).

10979367736704 is an abundant number, since it is smaller than the sum of its proper divisors (18374318253696).

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

10979367736704 is a wasteful number, since it uses less digits than its factorization.

10979367736704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263680 (or 263668 counting only the distinct ones).

The product of its (nonzero) digits is 252047376, while the sum is 69.

The spelling of 10979367736704 in words is "ten trillion, nine hundred seventy-nine billion, three hundred sixty-seven million, seven hundred thirty-six thousand, seven hundred four".