17123420160 has 1152 divisors, whose sum is σ = 78498201600. Its totient is φ = 3344302080.

The previous prime is 17123420137. The next prime is 17123420201. The reversal of 17123420160 is 6102432171.

17123420160 is a `hidden beast` number, since 171 + 234 + 201 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 134830017 + ... + 134830143.

It is an arithmetic number, because the mean of its divisors is an integer number (68140800).

Almost surely, 2^17123420160 is an apocalyptic number.

17123420160 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 17123420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39249100800).

17123420160 is an abundant number, since it is smaller than the sum of its proper divisors (61374781440).

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

17123420160 is a wasteful number, since it uses less digits than its factorization.

17123420160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 17123420160 in words is "seventeen billion, one hundred twenty-three million, four hundred twenty thousand, one hundred sixty".