18261196800 has 720 divisors, whose sum is σ = 75671323392. Its totient is φ = 3774873600.

The previous prime is 18261196781. The next prime is 18261196801. The reversal of 18261196800 is 869116281.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18261196801) 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, 94617504 + ... + 94617696.

Almost surely, 2^18261196800 is an apocalyptic number.

18261196800 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 18261196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37835661696).

18261196800 is an abundant number, since it is smaller than the sum of its proper divisors (57410126592).

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

18261196800 is a wasteful number, since it uses less digits than its factorization.

18261196800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The spelling of 18261196800 in words is "eighteen billion, two hundred sixty-one million, one hundred ninety-six thousand, eight hundred".