18098367590160 has 3840 divisors, whose sum is σ = 82549916467200. Its totient is φ = 3483648000000.

The previous prime is 18098367590101. The next prime is 18098367590197. The reversal of 18098367590160 is 6109576389081.

18098367590160 is a `hidden beast` number, since 1 + 8 + 0 + 9 + 8 + 36 + 7 + 590 + 1 + 6 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 72105050035 + ... + 72105050285.

It is an arithmetic number, because the mean of its divisors is an integer number (21497374080).

Almost surely, 2^{18098367590160} is an apocalyptic number.

18098367590160 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 18098367590160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41274958233600).

18098367590160 is an abundant number, since it is smaller than the sum of its proper divisors (64451548877040).

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

18098367590160 is a wasteful number, since it uses less digits than its factorization.

18098367590160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 18098367590160 in words is "eighteen trillion, ninety-eight billion, three hundred sixty-seven million, five hundred ninety thousand, one hundred sixty".