10879886304 has 360 divisors, whose sum is σ = 39418837920. Its totient is φ = 2925103104.

The previous prime is 10879886299. The next prime is 10879886333. The reversal of 10879886304 is 40368897801.

10879886304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2156617 + ... + 2161655.

It is an arithmetic number, because the mean of its divisors is an integer number (109496772).

Almost surely, 2^10879886304 is an apocalyptic number.

10879886304 is a gapful number since it is divisible by the number (14) 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 10879886304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19709418960).

10879886304 is an abundant number, since it is smaller than the sum of its proper divisors (28538951616).

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

10879886304 is a wasteful number, since it uses less digits than its factorization.

10879886304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5092 (or 5068 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 10879886304 in words is "ten billion, eight hundred seventy-nine million, eight hundred eighty-six thousand, three hundred four".