18029968800 has 432 divisors, whose sum is σ = 63884661120. Its totient is φ = 4401438720.

The previous prime is 18029968793. The next prime is 18029968861. The reversal of 18029968800 is 886992081.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 71 ways as a sum of consecutive naturals, for example, 75439081 + ... + 75439319.

It is an arithmetic number, because the mean of its divisors is an integer number (147881160).

Almost surely, 2^18029968800 is an apocalyptic number.

18029968800 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 18029968800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31942330560).

18029968800 is an abundant number, since it is smaller than the sum of its proper divisors (45854692320).

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

18029968800 is a wasteful number, since it uses less digits than its factorization.

18029968800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 51.

The spelling of 18029968800 in words is "eighteen billion, twenty-nine million, nine hundred sixty-eight thousand, eight hundred".