18271107367680 has 288 divisors, whose sum is σ = 60824982968064. Its totient is φ = 4669853810688.

The previous prime is 18271107367673. The next prime is 18271107367699. The reversal of 18271107367680 is 8676370117281.

It is a self number, because there is not a number n which added to its sum of digits gives 18271107367680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8559679 + ... + 10479041.

It is an arithmetic number, because the mean of its divisors is an integer number (211197857528).

Almost surely, 2^{18271107367680} is an apocalyptic number.

18271107367680 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 18271107367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30412491484032).

18271107367680 is an abundant number, since it is smaller than the sum of its proper divisors (42553875600384).

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

18271107367680 is a wasteful number, since it uses less digits than its factorization.

18271107367680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919491 (or 1919477 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 57.

The spelling of 18271107367680 in words is "eighteen trillion, two hundred seventy-one billion, one hundred seven million, three hundred sixty-seven thousand, six hundred eighty".