18139852800 has 468 divisors, whose sum is σ = 67471888120. Its totient is φ = 4837294080.

The previous prime is 18139852789. The next prime is 18139852831. The reversal of 18139852800 is 825893181.

It is a happy number.

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.

18139852800 is a `hidden beast` number, since 181 + 398 + 5 + 2 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3627970558 + ... + 3627970562.

Almost surely, 2^18139852800 is an apocalyptic number.

18139852800 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 18139852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33735944060).

18139852800 is an abundant number, since it is smaller than the sum of its proper divisors (49332035320).

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

18139852800 is an frugal number, since it uses more digits than its factorization.

18139852800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 18139852800 in words is "eighteen billion, one hundred thirty-nine million, eight hundred fifty-two thousand, eight hundred".