17102899980 has 384 divisors, whose sum is σ = 59257820160. Its totient is φ = 4075868160.

The previous prime is 17102899939. The next prime is 17102899987. The reversal of 17102899980 is 8999820171.

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

It is not an unprimeable number, because it can be changed into a prime (17102899987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14604795 + ... + 14605965.

It is an arithmetic number, because the mean of its divisors is an integer number (154317240).

Almost surely, 2^17102899980 is an apocalyptic number.

17102899980 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 17102899980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29628910080).

17102899980 is an abundant number, since it is smaller than the sum of its proper divisors (42154920180).

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

17102899980 is a wasteful number, since it uses less digits than its factorization.

17102899980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 54.

The spelling of 17102899980 in words is "seventeen billion, one hundred two million, eight hundred ninety-nine thousand, nine hundred eighty".