18225259200 has 210 divisors, whose sum is σ = 66991944756. Its totient is φ = 4860034560.

The previous prime is 18225259163. The next prime is 18225259223. The reversal of 18225259200 is 295252281.

18225259200 is a `hidden beast` number, since 18 + 2 + 2 + 52 + 592 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 59287 + ... + 199913.

Almost surely, 2^18225259200 is an apocalyptic number.

18225259200 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 18225259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33495972378).

18225259200 is an abundant number, since it is smaller than the sum of its proper divisors (48766685556).

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

18225259200 is a wasteful number, since it uses less digits than its factorization.

18225259200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140661 (or 140637 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 18225259200 in words is "eighteen billion, two hundred twenty-five million, two hundred fifty-nine thousand, two hundred".