167920803072 has 162 divisors, whose sum is σ = 532173533346. Its totient is φ = 50885007360.

The previous prime is 167920803053. The next prime is 167920803073. The reversal of 167920803072 is 270308029761.

It can be written as a sum of positive squares in only one way, i.e., 162299402496 + 5621400576 = 402864^2 + 74976^2 .

It is a super-2 number, since 2×167920803072² (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 (167920803073) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22383 + ... + 579950.

Almost surely, 2^167920803072 is an apocalyptic number.

167920803072 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 167920803072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266086766673).

167920803072 is an abundant number, since it is smaller than the sum of its proper divisors (364252730274).

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

167920803072 is a wasteful number, since it uses less digits than its factorization.

167920803072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602377 (or 602349 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 167920803072 in words is "one hundred sixty-seven billion, nine hundred twenty million, eight hundred three thousand, seventy-two".