18120957120 has 616 divisors, whose sum is σ = 74511859104. Its totient is φ = 4111699968.

The previous prime is 18120957119. The next prime is 18120957161. The reversal of 18120957120 is 2175902181.

It is a happy number.

18120957120 is a `hidden beast` number, since 1 + 81 + 2 + 0 + 9 + 571 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 132269692 + ... + 132269828.

Almost surely, 2^18120957120 is an apocalyptic number.

18120957120 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 18120957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37255929552).

18120957120 is an abundant number, since it is smaller than the sum of its proper divisors (56390901984).

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

18120957120 is an frugal number, since it uses more digits than its factorization.

18120957120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 18120957120 in words is "eighteen billion, one hundred twenty million, nine hundred fifty-seven thousand, one hundred twenty".