167955542868672 has 504 divisors, whose sum is σ = 525589962534000. Its totient is φ = 51253597863936.

The previous prime is 167955542868643. The next prime is 167955542868689. The reversal of 167955542868672 is 276868245559761.

167955542868672 is a `hidden beast` number, since 1 + 6 + 7 + 9 + 5 + 5 + 542 + 8 + 6 + 8 + 67 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 167955542868591 and 167955542868600.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 14193820068 + ... + 14193831900.

It is an arithmetic number, because the mean of its divisors is an integer number (1042837227250).

Almost surely, 2^{167955542868672} is an apocalyptic number.

167955542868672 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 167955542868672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262794981267000).

167955542868672 is an abundant number, since it is smaller than the sum of its proper divisors (357634419665328).

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

167955542868672 is a wasteful number, since it uses less digits than its factorization.

167955542868672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13065 (or 13039 counting only the distinct ones).

The product of its digits is 12192768000, while the sum is 81.

The spelling of 167955542868672 in words is "one hundred sixty-seven trillion, nine hundred fifty-five billion, five hundred forty-two million, eight hundred sixty-eight thousand, six hundred seventy-two".