170120861568 has 384 divisors, whose sum is σ = 611509616640. Its totient is φ = 44269977600.

The previous prime is 170120861567. The next prime is 170120861591. The reversal of 170120861568 is 865168021071.

170120861568 is a `hidden beast` number, since 1 + 7 + 0 + 1 + 2 + 0 + 86 + 1 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×170120861568² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (170120861567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4229713 + ... + 4269743.

It is an arithmetic number, because the mean of its divisors is an integer number (1592472960).

Almost surely, 2^170120861568 is an apocalyptic number.

170120861568 is a gapful number since it is divisible by the number (18) 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 170120861568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305754808320).

170120861568 is an abundant number, since it is smaller than the sum of its proper divisors (441388755072).

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

170120861568 is a wasteful number, since it uses less digits than its factorization.

170120861568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40106 (or 40091 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 170120861568 in words is "one hundred seventy billion, one hundred twenty million, eight hundred sixty-one thousand, five hundred sixty-eight".