166493770080 has 384 divisors, whose sum is σ = 586757799936. Its totient is φ = 39337728000.

The previous prime is 166493770049. The next prime is 166493770109. The reversal of 166493770080 is 80077394661.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 65264805 + ... + 65267355.

It is an arithmetic number, because the mean of its divisors is an integer number (1528015104).

Almost surely, 2^166493770080 is an apocalyptic number.

166493770080 is a gapful number since it is divisible by the number (10) 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 166493770080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293378899968).

166493770080 is an abundant number, since it is smaller than the sum of its proper divisors (420264029856).

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

166493770080 is a wasteful number, since it uses less digits than its factorization.

166493770080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2890 (or 2882 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The spelling of 166493770080 in words is "one hundred sixty-six billion, four hundred ninety-three million, seven hundred seventy thousand, eighty".