170880071712 has 192 divisors, whose sum is σ = 522035103744. Its totient is φ = 47936286720.

The previous prime is 170880071701. The next prime is 170880071717. The reversal of 170880071712 is 217170088071.

170880071712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×170880071712² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (170880071717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8114637 + ... + 8135667.

It is an arithmetic number, because the mean of its divisors is an integer number (2718932832).

Almost surely, 2^170880071712 is an apocalyptic number.

170880071712 is a gapful number since it is divisible by the number (12) 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 170880071712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261017551872).

170880071712 is an abundant number, since it is smaller than the sum of its proper divisors (351155032032).

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

170880071712 is a wasteful number, since it uses less digits than its factorization.

170880071712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21271 (or 21263 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 42.

The spelling of 170880071712 in words is "one hundred seventy billion, eight hundred eighty million, seventy-one thousand, seven hundred twelve".