16813504081920 has 416 divisors, whose sum is σ = 66211277755392. Its totient is φ = 3547463417856.

The previous prime is 16813504081861. The next prime is 16813504081951. The reversal of 16813504081920 is 2918040531861.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 16813504081920.

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 31 ways as a sum of consecutive naturals, for example, 4087429 + ... + 7094651.

Almost surely, 2^{16813504081920} is an apocalyptic number.

16813504081920 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 16813504081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33105638877696).

16813504081920 is an abundant number, since it is smaller than the sum of its proper divisors (49397773673472).

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

16813504081920 is a wasteful number, since it uses less digits than its factorization.

16813504081920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007275 (or 3007253 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 16813504081920 in words is "sixteen trillion, eight hundred thirteen billion, five hundred four million, eighty-one thousand, nine hundred twenty".