17994098900 has 72 divisors (see below), whose sum is σ = 39917132640. Its totient is φ = 7038195840.

The previous prime is 17994098897. The next prime is 17994098939. The reversal of 17994098900 is 989049971.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1621571 + ... + 1632629.

It is an arithmetic number, because the mean of its divisors is an integer number (554404620).

Almost surely, 2^17994098900 is an apocalyptic number.

17994098900 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 17994098900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19958566320).

17994098900 is an abundant number, since it is smaller than the sum of its proper divisors (21923033740).

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

17994098900 is a wasteful number, since it uses less digits than its factorization.

17994098900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11433 (or 11426 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 56.

The spelling of 17994098900 in words is "seventeen billion, nine hundred ninety-four million, ninety-eight thousand, nine hundred".