18868387200 has 192 divisors, whose sum is σ = 66928789200. Its totient is φ = 4644495360.

The previous prime is 18868387163. The next prime is 18868387273. The reversal of 18868387200 is 278386881.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49206 + ... + 200394.

Almost surely, 2^18868387200 is an apocalyptic number.

18868387200 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 18868387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33464394600).

18868387200 is an abundant number, since it is smaller than the sum of its proper divisors (48060402000).

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

18868387200 is a wasteful number, since it uses less digits than its factorization.

18868387200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151229 (or 151212 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 51.

The spelling of 18868387200 in words is "eighteen billion, eight hundred sixty-eight million, three hundred eighty-seven thousand, two hundred".