17994126471680 has 160 divisors (see below), whose sum is σ = 43226717688000. Its totient is φ = 7183819653120.

The previous prime is 17994126471637. The next prime is 17994126471689. The reversal of 17994126471680 is 8617462149971.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (17994126471689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5142646571 + ... + 5142650069.

It is an arithmetic number, because the mean of its divisors is an integer number (270166985550).

Almost surely, 2^{17994126471680} is an apocalyptic number.

17994126471680 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 17994126471680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21613358844000).

17994126471680 is an abundant number, since it is smaller than the sum of its proper divisors (25232591216320).

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

17994126471680 is an equidigital number, since it uses as much as digits as its factorization.

17994126471680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6810 (or 6794 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 65.

The spelling of 17994126471680 in words is "seventeen trillion, nine hundred ninety-four billion, one hundred twenty-six million, four hundred seventy-one thousand, six hundred eighty".