18791327460360 has 1024 divisors, whose sum is σ = 73281090355200. Its totient is φ = 3752176988160.

The previous prime is 18791327460337. The next prime is 18791327460419. The reversal of 18791327460360 is 6306472319781.

It is a super-2 number, since 2×18791327460360² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 18791327460360.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15289932226 + ... + 15289933454.

It is an arithmetic number, because the mean of its divisors is an integer number (71563564800).

Almost surely, 2^{18791327460360} is an apocalyptic number.

18791327460360 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 18791327460360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36640545177600).

18791327460360 is an abundant number, since it is smaller than the sum of its proper divisors (54489762894840).

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

18791327460360 is a wasteful number, since it uses less digits than its factorization.

18791327460360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 57.

The spelling of 18791327460360 in words is "eighteen trillion, seven hundred ninety-one billion, three hundred twenty-seven million, four hundred sixty thousand, three hundred sixty".