17973312000 has 640 divisors, whose sum is σ = 70106370048. Its totient is φ = 3999744000.

The previous prime is 17973311987. The next prime is 17973312059. The reversal of 17973312000 is 21337971.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57791845 + ... + 57792155.

Almost surely, 2^17973312000 is an apocalyptic number.

17973312000 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 17973312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35053185024).

17973312000 is an abundant number, since it is smaller than the sum of its proper divisors (52133058048).

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

17973312000 is an equidigital number, since it uses as much as digits as its factorization.

17973312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 33.

Adding to 17973312000 its reverse (21337971), we get a palindrome (17994649971).

The spelling of 17973312000 in words is "seventeen billion, nine hundred seventy-three million, three hundred twelve thousand".