13320853056 has 315 divisors, whose sum is σ = 46135529649. Its totient is φ = 3789338112.

The previous prime is 13320853043. The next prime is 13320853061. The reversal of 13320853056 is 65035802331.

The square root of 13320853056 is 115416.

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

It can be written as a sum of positive squares in only one way, i.e., 12406395456 + 914457600 = 111384^2 + 30240^2 .

It is a super-2 number, since 2×13320853056² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13320853056.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 58169550 + ... + 58169778.

Almost surely, 2^13320853056 is an apocalyptic number.

13320853056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13320853056 is the 115416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13320853056

13320853056 is an abundant number, since it is smaller than the sum of its proper divisors (32814676593).

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

13320853056 is an frugal number, since it uses more digits than its factorization.

13320853056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Multiplying 13320853056 by its sum of digits (36), we get a square (479550710016 = 692496²).

13320853056 divided by its sum of digits (36) gives a square (370023696 = 19236²).

The spelling of 13320853056 in words is "thirteen billion, three hundred twenty million, eight hundred fifty-three thousand, fifty-six".