18204058080 has 864 divisors, whose sum is σ = 73667543040. Its totient is φ = 4075868160.

The previous prime is 18204058051. The next prime is 18204058129. The reversal of 18204058080 is 8085040281.

18204058080 is a `hidden beast` number, since 18 + 20 + 40 + 580 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 143338977 + ... + 143339103.

It is an arithmetic number, because the mean of its divisors is an integer number (85263360).

Almost surely, 2^18204058080 is an apocalyptic number.

18204058080 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 18204058080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36833771520).

18204058080 is an abundant number, since it is smaller than the sum of its proper divisors (55463484960).

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

18204058080 is a wasteful number, since it uses less digits than its factorization.

18204058080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 18204058080 in words is "eighteen billion, two hundred four million, fifty-eight thousand, eighty".