18750813120 has 560 divisors, whose sum is σ = 72441267360. Its totient is φ = 4595429376.

The previous prime is 18750813097. The next prime is 18750813149. The reversal of 18750813120 is 2131805781.

18750813120 is a `hidden beast` number, since 18 + 7 + 508 + 13 + 120 = 666.

It is a super-2 number, since 2×18750813120² (a number of 21 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 81881166 + ... + 81881394.

It is an arithmetic number, because the mean of its divisors is an integer number (129359406).

Almost surely, 2^18750813120 is an apocalyptic number.

18750813120 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 18750813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36220633680).

18750813120 is an abundant number, since it is smaller than the sum of its proper divisors (53690454240).

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

18750813120 is an frugal number, since it uses more digits than its factorization.

18750813120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 18750813120 in words is "eighteen billion, seven hundred fifty million, eight hundred thirteen thousand, one hundred twenty".