10879324416 has 243 divisors, whose sum is σ = 32769580207. Its totient is φ = 3471237120.

The previous prime is 10879324373. The next prime is 10879324499. The reversal of 10879324416 is 61442397801.

The square root of 10879324416 is 104304.

It is a perfect power (a square), and thus also a powerful number.

10879324416 is a `hidden beast` number, since 108 + 79 + 32 + 441 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1177862400 + 9701462016 = 34320^2 + 98496^2 .

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 205270246 + ... + 205270298.

Almost surely, 2^10879324416 is an apocalyptic number.

10879324416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10879324416 is the 104304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10879324416

10879324416 is an abundant number, since it is smaller than the sum of its proper divisors (21890255791).

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

10879324416 is an frugal number, since it uses more digits than its factorization.

10879324416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10879324416 in words is "ten billion, eight hundred seventy-nine million, three hundred twenty-four thousand, four hundred sixteen".