18000290880 has 896 divisors, whose sum is σ = 79083164160. Its totient is φ = 3786670080.

The previous prime is 18000290879. The next prime is 18000290881. The reversal of 18000290880 is 8809200081.

It is an interprime number because it is at equal distance from previous prime (18000290879) and next prime (18000290881).

It is a super-2 number, since 2×18000290880² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (18000290881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21003412 + ... + 21004268.

It is an arithmetic number, because the mean of its divisors is an integer number (88262460).

Almost surely, 2^18000290880 is an apocalyptic number.

18000290880 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 18000290880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39541582080).

18000290880 is an abundant number, since it is smaller than the sum of its proper divisors (61082873280).

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

18000290880 is a wasteful number, since it uses less digits than its factorization.

18000290880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 18000290880 in words is "eighteen billion, two hundred ninety thousand, eight hundred eighty".