18972869967360 has 800 divisors, whose sum is σ = 69664656489120. Its totient is φ = 4933705531392.

The previous prime is 18972869967323. The next prime is 18972869967371. The reversal of 18972869967360 is 6376996827981.

18972869967360 is a `hidden beast` number, since 1 + 8 + 97 + 2 + 86 + 9 + 96 + 7 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 18972869967360.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 1347210879 + ... + 1347224961.

Almost surely, 2^{18972869967360} is an apocalyptic number.

18972869967360 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 18972869967360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34832328244560).

18972869967360 is an abundant number, since it is smaller than the sum of its proper divisors (50691786521760).

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

18972869967360 is an equidigital number, since it uses as much as digits as its factorization.

18972869967360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14280 (or 14255 counting only the distinct ones).

The product of its (nonzero) digits is 2962842624, while the sum is 81.

The spelling of 18972869967360 in words is "eighteen trillion, nine hundred seventy-two billion, eight hundred sixty-nine million, nine hundred sixty-seven thousand, three hundred sixty".