166753167132255 has 64 divisors (see below), whose sum is σ = 309412481057280. Its totient is φ = 75836392128000.

The previous prime is 166753167132247. The next prime is 166753167132259. The reversal of 166753167132255 is 552231761357661.

It is a happy number.

It is not a de Polignac number, because 166753167132255 - 2³ = 166753167132247 is a prime.

It is a super-2 number, since 2×166753167132255² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166753167132259) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 263004172 + ... + 263637441.

It is an arithmetic number, because the mean of its divisors is an integer number (4834570016520).

Almost surely, 2^{166753167132255} is an apocalyptic number.

166753167132255 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

166753167132255 is a deficient number, since it is larger than the sum of its proper divisors (142659313925025).

166753167132255 is a wasteful number, since it uses less digits than its factorization.

166753167132255 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526641752.

The product of its digits is 47628000, while the sum is 60.

It can be divided in two parts, 1667531 and 67132255, that added together give a palindrome (68799786).

The spelling of 166753167132255 in words is "one hundred sixty-six trillion, seven hundred fifty-three billion, one hundred sixty-seven million, one hundred thirty-two thousand, two hundred fifty-five".