166329770880 has 1536 divisors, whose sum is σ = 708887531520. Its totient is φ = 32823705600.

The previous prime is 166329770879. The next prime is 166329770891. The reversal of 166329770880 is 88077923661.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 166329770880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1554483787 + ... + 1554483893.

It is an arithmetic number, because the mean of its divisors is an integer number (461515320).

Almost surely, 2^166329770880 is an apocalyptic number.

166329770880 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 166329770880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354443765760).

166329770880 is an abundant number, since it is smaller than the sum of its proper divisors (542557760640).

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

166329770880 is a wasteful number, since it uses less digits than its factorization.

166329770880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 57.

The spelling of 166329770880 in words is "one hundred sixty-six billion, three hundred twenty-nine million, seven hundred seventy thousand, eight hundred eighty".