17102741120 has 64 divisors (see below), whose sum is σ = 42663939840. Its totient is φ = 6543651840.

The previous prime is 17102741099. The next prime is 17102741129. The reversal of 17102741120 is 2114720171.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 17102741120.

It is not an unprimeable number, because it can be changed into a prime (17102741129) 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 7 ways as a sum of consecutive naturals, for example, 566216 + ... + 595655.

It is an arithmetic number, because the mean of its divisors is an integer number (666624060).

Almost surely, 2^17102741120 is an apocalyptic number.

17102741120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

17102741120 is an abundant number, since it is smaller than the sum of its proper divisors (25561198720).

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

17102741120 is a wasteful number, since it uses less digits than its factorization.

17102741120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161913 (or 1161901 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 26.

The spelling of 17102741120 in words is "seventeen billion, one hundred two million, seven hundred forty-one thousand, one hundred twenty".