168591106080 has 384 divisors, whose sum is σ = 603633461760. Its totient is φ = 44485189632.

The previous prime is 168591106067. The next prime is 168591106081. The reversal of 168591106080 is 80601195861.

It is a super-2 number, since 2×168591106080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (168591106081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33939757 + ... + 33944723.

It is an arithmetic number, because the mean of its divisors is an integer number (1571962140).

Almost surely, 2^168591106080 is an apocalyptic number.

168591106080 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 168591106080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301816730880).

168591106080 is an abundant number, since it is smaller than the sum of its proper divisors (435042355680).

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

168591106080 is an frugal number, since it uses more digits than its factorization.

168591106080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5100 (or 5074 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 168591106080 in words is "one hundred sixty-eight billion, five hundred ninety-one million, one hundred six thousand, eighty".