18817920000 has 990 divisors, whose sum is σ = 77396603284. Its totient is φ = 4561920000.

The previous prime is 18817919993. The next prime is 18817920031. The reversal of 18817920000 is 2971881.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (990).

It is a super-2 number, since 2×18817920000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1710719995 + ... + 1710720005.

Almost surely, 2^18817920000 is an apocalyptic number.

18817920000 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 18817920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38698301642).

18817920000 is an abundant number, since it is smaller than the sum of its proper divisors (58578683284).

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

18817920000 is an frugal number, since it uses more digits than its factorization.

18817920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 18817920000 in words is "eighteen billion, eight hundred seventeen million, nine hundred twenty thousand".