18253660800 has 192 divisors, whose sum is σ = 60566212800. Its totient is φ = 4831764480.

The previous prime is 18253660793. The next prime is 18253660811. The reversal of 18253660800 is 806635281.

It is a happy number.

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

It is a super-2 number, since 2×18253660800² (a number of 21 digits) contains 22 as substring.

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, 1308261 + ... + 1322139.

It is an arithmetic number, because the mean of its divisors is an integer number (315449025).

Almost surely, 2^18253660800 is an apocalyptic number.

18253660800 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 18253660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30283106400).

18253660800 is an abundant number, since it is smaller than the sum of its proper divisors (42312552000).

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

18253660800 is a wasteful number, since it uses less digits than its factorization.

18253660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14043 (or 14026 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 18253660800 in words is "eighteen billion, two hundred fifty-three million, six hundred sixty thousand, eight hundred".