166658833375272 has 576 divisors, whose sum is σ = 532530704534400. Its totient is φ = 46945226280960.

The previous prime is 166658833375271. The next prime is 166658833375297. The reversal of 166658833375272 is 272573338856661.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 166658833375272.

It is not an unprimeable number, because it can be changed into a prime (166658833375271) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49438987747 + ... + 49438991117.

It is an arithmetic number, because the mean of its divisors is an integer number (924532473150).

Almost surely, 2^{166658833375272} is an apocalyptic number.

166658833375272 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 166658833375272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266265352267200).

166658833375272 is an abundant number, since it is smaller than the sum of its proper divisors (365871871159128).

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

166658833375272 is a wasteful number, since it uses less digits than its factorization.

166658833375272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4206 (or 4192 counting only the distinct ones).

The product of its digits is 1828915200, while the sum is 72.

The spelling of 166658833375272 in words is "one hundred sixty-six trillion, six hundred fifty-eight billion, eight hundred thirty-three million, three hundred seventy-five thousand, two hundred seventy-two".