18079027200 has 624 divisors, whose sum is σ = 71666663040. Its totient is φ = 4441374720.

The previous prime is 18079027181. The next prime is 18079027201. The reversal of 18079027200 is 272097081.

It is a tau number, because it is divible by the number of its divisors (624).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (18079027201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35942149 + ... + 35942651.

Almost surely, 2^18079027200 is an apocalyptic number.

18079027200 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 18079027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35833331520).

18079027200 is an abundant number, since it is smaller than the sum of its proper divisors (53587635840).

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

18079027200 is a wasteful number, since it uses less digits than its factorization.

18079027200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 18079027200 in words is "eighteen billion, seventy-nine million, twenty-seven thousand, two hundred".