18573013200 has 240 divisors, whose sum is σ = 68488394240. Its totient is φ = 4214453760.

The previous prime is 18573013189. The next prime is 18573013201. The reversal of 18573013200 is 231037581.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18573013201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1159647 + ... + 1175553.

Almost surely, 2^18573013200 is an apocalyptic number.

18573013200 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 18573013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34244197120).

18573013200 is an abundant number, since it is smaller than the sum of its proper divisors (49915381040).

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

18573013200 is a wasteful number, since it uses less digits than its factorization.

18573013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16074 (or 16063 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 18573013200 in words is "eighteen billion, five hundred seventy-three million, thirteen thousand, two hundred".