17797790160 has 240 divisors, whose sum is σ = 60687544320. Its totient is φ = 4673894400.

The previous prime is 17797790159. The next prime is 17797790177. The reversal of 17797790160 is 6109779771.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×17797790160² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 17797790097 and 17797790106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13806796 + ... + 13808084.

It is an arithmetic number, because the mean of its divisors is an integer number (252864768).

Almost surely, 2^17797790160 is an apocalyptic number.

17797790160 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 17797790160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30343772160).

17797790160 is an abundant number, since it is smaller than the sum of its proper divisors (42889754160).

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

17797790160 is a wasteful number, since it uses less digits than its factorization.

17797790160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 1166886, while the sum is 54.

The spelling of 17797790160 in words is "seventeen billion, seven hundred ninety-seven million, seven hundred ninety thousand, one hundred sixty".