18585213000 has 256 divisors, whose sum is σ = 60135229440. Its totient is φ = 4773888000.

The previous prime is 18585212941. The next prime is 18585213001. The reversal of 18585213000 is 31258581.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (18585213001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31340704 + ... + 31341296.

It is an arithmetic number, because the mean of its divisors is an integer number (234903240).

Almost surely, 2^18585213000 is an apocalyptic number.

18585213000 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 18585213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30067614720).

18585213000 is an abundant number, since it is smaller than the sum of its proper divisors (41550016440).

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

18585213000 is a wasteful number, since it uses less digits than its factorization.

18585213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The spelling of 18585213000 in words is "eighteen billion, five hundred eighty-five million, two hundred thirteen thousand".