18192812820 has 288 divisors, whose sum is σ = 66752356608. Its totient is φ = 3612450816.

The previous prime is 18192812809. The next prime is 18192812843. The reversal of 18192812820 is 2821829181.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1199122 + ... + 1214198.

It is an arithmetic number, because the mean of its divisors is an integer number (231779016).

Almost surely, 2^18192812820 is an apocalyptic number.

18192812820 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 18192812820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33376178304).

18192812820 is an abundant number, since it is smaller than the sum of its proper divisors (48559543788).

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

18192812820 is a wasteful number, since it uses less digits than its factorization.

18192812820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15139 (or 15124 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 42.

The spelling of 18192812820 in words is "eighteen billion, one hundred ninety-two million, eight hundred twelve thousand, eight hundred twenty".