18381800707200 has 4608 divisors, whose sum is σ = 86317075353600. Its totient is φ = 3770700595200.

The previous prime is 18381800707199. The next prime is 18381800707241. The reversal of 18381800707200 is 270700818381.

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 575 ways as a sum of consecutive naturals, for example, 221467478359 + ... + 221467478441.

It is an arithmetic number, because the mean of its divisors is an integer number (18732004200).

Almost surely, 2^{18381800707200} is an apocalyptic number.

18381800707200 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 18381800707200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43158537676800).

18381800707200 is an abundant number, since it is smaller than the sum of its proper divisors (67935274646400).

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

18381800707200 is a wasteful number, since it uses less digits than its factorization.

18381800707200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 18381800707200 in words is "eighteen trillion, three hundred eighty-one billion, eight hundred million, seven hundred seven thousand, two hundred".