18872338800 has 240 divisors, whose sum is σ = 70698848000. Its totient is φ = 4213278720.

The previous prime is 18872338777. The next prime is 18872338817. The reversal of 18872338800 is 883327881.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 18872338800.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 335076 + ... + 387324.

Almost surely, 2^18872338800 is an apocalyptic number.

18872338800 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 18872338800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35349424000).

18872338800 is an abundant number, since it is smaller than the sum of its proper divisors (51826509200).

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

18872338800 is a wasteful number, since it uses less digits than its factorization.

18872338800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52320 (or 52309 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 18872338800 in words is "eighteen billion, eight hundred seventy-two million, three hundred thirty-eight thousand, eight hundred".