18830085120 has 1408 divisors, whose sum is σ = 87722956800. Its totient is φ = 3715891200.

The previous prime is 18830085107. The next prime is 18830085161. The reversal of 18830085120 is 2158003881.

It is a tau number, because it is divible by the number of its divisors (1408).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 308689890 + ... + 308689950.

Almost surely, 2^18830085120 is an apocalyptic number.

18830085120 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 18830085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43861478400).

18830085120 is an abundant number, since it is smaller than the sum of its proper divisors (68892871680).

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

18830085120 is a wasteful number, since it uses less digits than its factorization.

18830085120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 18830085120 in words is "eighteen billion, eight hundred thirty million, eighty-five thousand, one hundred twenty".