18498590880 has 768 divisors, whose sum is σ = 77587808256. Its totient is φ = 3590737920.

The previous prime is 18498590867. The next prime is 18498590881. The reversal of 18498590880 is 8809589481.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (18498590881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39953529 + ... + 39953991.

It is an arithmetic number, because the mean of its divisors is an integer number (101025792).

Almost surely, 2^18498590880 is an apocalyptic number.

18498590880 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 18498590880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38793904128).

18498590880 is an abundant number, since it is smaller than the sum of its proper divisors (59089217376).

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

18498590880 is a wasteful number, since it uses less digits than its factorization.

18498590880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 60.

The spelling of 18498590880 in words is "eighteen billion, four hundred ninety-eight million, five hundred ninety thousand, eight hundred eighty".