18516072960 has 1280 divisors, whose sum is σ = 84851712000. Its totient is φ = 3793305600.

The previous prime is 18516072931. The next prime is 18516072979. The reversal of 18516072960 is 6927061581.

18516072960 is a `hidden beast` number, since 1 + 8 + 516 + 0 + 72 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 260789725 + ... + 260789795.

It is an arithmetic number, because the mean of its divisors is an integer number (66290400).

Almost surely, 2^18516072960 is an apocalyptic number.

18516072960 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 18516072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42425856000).

18516072960 is an abundant number, since it is smaller than the sum of its proper divisors (66335639040).

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

18516072960 is an equidigital number, since it uses as much as digits as its factorization.

18516072960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 18516072960 in words is "eighteen billion, five hundred sixteen million, seventy-two thousand, nine hundred sixty".