18258796800 has 324 divisors, whose sum is σ = 66522125124. Its totient is φ = 4776345600.

The previous prime is 18258796799. The next prime is 18258796823. The reversal of 18258796800 is 869785281.

It can be written as a sum of positive squares in 6 ways, for example, as 2005606656 + 16253190144 = 44784^2 + 127488^2 .

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, 3049810 + ... + 3055790.

It is an arithmetic number, because the mean of its divisors is an integer number (205315201).

Almost surely, 2^18258796800 is an apocalyptic number.

18258796800 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 18258796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33261062562).

18258796800 is an abundant number, since it is smaller than the sum of its proper divisors (48263328324).

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

18258796800 is a wasteful number, since it uses less digits than its factorization.

18258796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6066 (or 6044 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 18258796800 in words is "eighteen billion, two hundred fifty-eight million, seven hundred ninety-six thousand, eight hundred".