13856521320 has 192 divisors, whose sum is σ = 47150812800. Its totient is φ = 3524451840.

The previous prime is 13856521297. The next prime is 13856521337. The reversal of 13856521320 is 2312565831.

13856521320 is a `hidden beast` number, since 1 + 385 + 65 + 213 + 2 + 0 = 666.

It is a super-2 number, since 2×13856521320² (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 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 47 ways as a sum of consecutive naturals, for example, 858525 + ... + 874515.

It is an arithmetic number, because the mean of its divisors is an integer number (245577150).

Almost surely, 2^13856521320 is an apocalyptic number.

13856521320 is a gapful number since it is divisible by the number (10) 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 13856521320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23575406400).

13856521320 is an abundant number, since it is smaller than the sum of its proper divisors (33294291480).

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

13856521320 is a wasteful number, since it uses less digits than its factorization.

13856521320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16120 (or 16113 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 13856521320 in words is "thirteen billion, eight hundred fifty-six million, five hundred twenty-one thousand, three hundred twenty".