17115085680 has 640 divisors, whose sum is σ = 70171508736. Its totient is φ = 3345408000.

The previous prime is 17115085667. The next prime is 17115085697. The reversal of 17115085680 is 8658051171.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28477380 + ... + 28477980.

Almost surely, 2^17115085680 is an apocalyptic number.

17115085680 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 17115085680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35085754368).

17115085680 is an abundant number, since it is smaller than the sum of its proper divisors (53056423056).

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

17115085680 is a wasteful number, since it uses less digits than its factorization.

17115085680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 42.

The spelling of 17115085680 in words is "seventeen billion, one hundred fifteen million, eighty-five thousand, six hundred eighty".