18121936896000 has 3072 divisors, whose sum is σ = 82356922252800. Its totient is φ = 3898500710400.

The previous prime is 18121936895989. The next prime is 18121936896029. The reversal of 18121936896000 is 69863912181.

18121936896000 is a `hidden beast` number, since 1 + 8 + 1 + 21 + 9 + 3 + 6 + 8 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×18121936896000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 1065996287992 + ... + 1065996288008.

Almost surely, 2^{18121936896000} is an apocalyptic number.

18121936896000 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 18121936896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41178461126400).

18121936896000 is an abundant number, since it is smaller than the sum of its proper divisors (64234985356800).

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

18121936896000 is an frugal number, since it uses more digits than its factorization.

18121936896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 18121936896000 in words is "eighteen trillion, one hundred twenty-one billion, nine hundred thirty-six million, eight hundred ninety-six thousand".