178080191968 has 72 divisors (see below), whose sum is σ = 407968856064. Its totient is φ = 76295116800.

The previous prime is 178080191929. The next prime is 178080191969. The reversal of 178080191968 is 869191080871.

178080191968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (178080191969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5253153 + ... + 5286943.

It is an arithmetic number, because the mean of its divisors is an integer number (5666234112).

Almost surely, 2^178080191968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 178080191968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203984428032).

178080191968 is an abundant number, since it is smaller than the sum of its proper divisors (229888664096).

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

178080191968 is a wasteful number, since it uses less digits than its factorization.

178080191968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37176 (or 37161 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 58.

The spelling of 178080191968 in words is "one hundred seventy-eight billion, eighty million, one hundred ninety-one thousand, nine hundred sixty-eight".