18817989120 has 1280 divisors, whose sum is σ = 84851712000. Its totient is φ = 3853910016.

The previous prime is 18817989107. The next prime is 18817989131. The reversal of 18817989120 is 2198971881.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 211438036 + ... + 211438124.

It is an arithmetic number, because the mean of its divisors is an integer number (66290400).

Almost surely, 2^18817989120 is an apocalyptic number.

18817989120 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 18817989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42425856000).

18817989120 is an abundant number, since it is smaller than the sum of its proper divisors (66033722880).

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

18817989120 is a wasteful number, since it uses less digits than its factorization.

18817989120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 54.

The spelling of 18817989120 in words is "eighteen billion, eight hundred seventeen million, nine hundred eighty-nine thousand, one hundred twenty".