17971798101840 has 1440 divisors, whose sum is σ = 71441165472768. Its totient is φ = 4191127142400.

The previous prime is 17971798101811. The next prime is 17971798101889. The reversal of 17971798101840 is 4810189717971.

It is a super-2 number, since 2×17971798101840² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14073451282 + ... + 14073452558.

Almost surely, 2^{17971798101840} is an apocalyptic number.

17971798101840 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 17971798101840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35720582736384).

17971798101840 is an abundant number, since it is smaller than the sum of its proper divisors (53469367370928).

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

17971798101840 is a wasteful number, since it uses less digits than its factorization.

17971798101840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 63.

The spelling of 17971798101840 in words is "seventeen trillion, nine hundred seventy-one billion, seven hundred ninety-eight million, one hundred one thousand, eight hundred forty".