18509290800 has 960 divisors, whose sum is σ = 83901296640. Its totient is φ = 3359232000.

The previous prime is 18509290799. The next prime is 18509290801. The reversal of 18509290800 is 809290581.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (18509290799) and next prime (18509290801).

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

It is not an unprimeable number, because it can be changed into a prime (18509290801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22822395 + ... + 22823205.

It is an arithmetic number, because the mean of its divisors is an integer number (87397184).

Almost surely, 2^18509290800 is an apocalyptic number.

18509290800 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 18509290800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41950648320).

18509290800 is an abundant number, since it is smaller than the sum of its proper divisors (65392005840).

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

18509290800 is a wasteful number, since it uses less digits than its factorization.

18509290800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The spelling of 18509290800 in words is "eighteen billion, five hundred nine million, two hundred ninety thousand, eight hundred".