166389672076992 has 840 divisors, whose sum is σ = 618123495139920. Its totient is φ = 43866687836160.

The previous prime is 166389672076967. The next prime is 166389672077059. The reversal of 166389672076992 is 299670276983661.

166389672076992 is a `hidden beast` number, since 1 + 6 + 6 + 389 + 67 + 20 + 76 + 9 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10761888142 + ... + 10761903602.

It is an arithmetic number, because the mean of its divisors is an integer number (735861303738).

Almost surely, 2^{166389672076992} is an apocalyptic number.

166389672076992 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 166389672076992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309061747569960).

166389672076992 is an abundant number, since it is smaller than the sum of its proper divisors (451733823062928).

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

166389672076992 is a wasteful number, since it uses less digits than its factorization.

166389672076992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18771 (or 18745 counting only the distinct ones).

The product of its (nonzero) digits is 4444263936, while the sum is 81.

The spelling of 166389672076992 in words is "one hundred sixty-six trillion, three hundred eighty-nine billion, six hundred seventy-two million, seventy-six thousand, nine hundred ninety-two".