17982641088 has 224 divisors, whose sum is σ = 54952392000. Its totient is φ = 5759631360.

The previous prime is 17982641081. The next prime is 17982641111. The reversal of 17982641088 is 88014628971.

17982641088 is a `hidden beast` number, since 1 + 79 + 82 + 6 + 410 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17982641081) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 12076248 + ... + 12077736.

Almost surely, 2^17982641088 is an apocalyptic number.

17982641088 is a gapful number since it is divisible by the number (18) 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 17982641088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27476196000).

17982641088 is an abundant number, since it is smaller than the sum of its proper divisors (36969750912).

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

17982641088 is a wasteful number, since it uses less digits than its factorization.

17982641088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 17982641088 in words is "seventeen billion, nine hundred eighty-two million, six hundred forty-one thousand, eighty-eight".