168815275272 has 288 divisors, whose sum is σ = 554896929600. Its totient is φ = 45293084928.

The previous prime is 168815275193. The next prime is 168815275283. The reversal of 168815275272 is 272572518861.

It is a happy number.

168815275272 is a `hidden beast` number, since 1 + 6 + 88 + 15 + 27 + 527 + 2 = 666.

It is a super-2 number, since 2×168815275272² (a number of 23 digits) contains 22 as substring.

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, 154450758 + ... + 154451850.

It is an arithmetic number, because the mean of its divisors is an integer number (1926725450).

Almost surely, 2^168815275272 is an apocalyptic number.

168815275272 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 168815275272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277448464800).

168815275272 is an abundant number, since it is smaller than the sum of its proper divisors (386081654328).

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

168815275272 is a wasteful number, since it uses less digits than its factorization.

168815275272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1251 counting only the distinct ones).

The product of its digits is 3763200, while the sum is 54.

The spelling of 168815275272 in words is "one hundred sixty-eight billion, eight hundred fifteen million, two hundred seventy-five thousand, two hundred seventy-two".