18870743812800 has 336 divisors, whose sum is σ = 67860242987904. Its totient is φ = 4553041920000.

The previous prime is 18870743812799. The next prime is 18870743812819. The reversal of 18870743812800 is 821834707881.

It is a super-2 number, since 2×18870743812800² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10293880 + ... + 11987720.

Almost surely, 2^{18870743812800} is an apocalyptic number.

18870743812800 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 18870743812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33930121493952).

18870743812800 is an abundant number, since it is smaller than the sum of its proper divisors (48989499175104).

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

18870743812800 is a wasteful number, since it uses less digits than its factorization.

18870743812800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694088 (or 1694073 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 57.

The spelling of 18870743812800 in words is "eighteen trillion, eight hundred seventy billion, seven hundred forty-three million, eight hundred twelve thousand, eight hundred".