18533979120 has 80 divisors (see below), whose sum is σ = 57560780160. Its totient is φ = 4933324032.

The previous prime is 18533979109. The next prime is 18533979143. The reversal of 18533979120 is 2197933581.

It is a tau number, because it is divible by the number of its divisors (80).

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 18533979120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60691 + ... + 201869.

It is an arithmetic number, because the mean of its divisors is an integer number (719509752).

Almost surely, 2^18533979120 is an apocalyptic number.

18533979120 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 18533979120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28780390080).

18533979120 is an abundant number, since it is smaller than the sum of its proper divisors (39026801040).

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

18533979120 is a wasteful number, since it uses less digits than its factorization.

18533979120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141742 (or 141736 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The spelling of 18533979120 in words is "eighteen billion, five hundred thirty-three million, nine hundred seventy-nine thousand, one hundred twenty".