166518504777672 has 96 divisors (see below), whose sum is σ = 451930649002560. Its totient is φ = 55390115088000.

The previous prime is 166518504777637. The next prime is 166518504777707. The reversal of 166518504777672 is 276777405815661.

It is a happy number.

166518504777672 is a `hidden beast` number, since 1 + 6 + 6 + 5 + 1 + 85 + 0 + 477 + 7 + 6 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (166518504777637) and next prime (166518504777707).

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 166518504777672.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 706604022 + ... + 706839642.

It is an arithmetic number, because the mean of its divisors is an integer number (4707610927110).

Almost surely, 2^{166518504777672} is an apocalyptic number.

166518504777672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

166518504777672 is an abundant number, since it is smaller than the sum of its proper divisors (285412144224888).

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

166518504777672 is a wasteful number, since it uses less digits than its factorization.

166518504777672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256115 (or 256108 counting only the distinct ones).

The product of its (nonzero) digits is 829785600, while the sum is 72.

The spelling of 166518504777672 in words is "one hundred sixty-six trillion, five hundred eighteen billion, five hundred four million, seven hundred seventy-seven thousand, six hundred seventy-two".