166112760960 has 1536 divisors, whose sum is σ = 685400832000. Its totient is φ = 37902090240.

The previous prime is 166112760941. The next prime is 166112760973. The reversal of 166112760960 is 69067211661.

166112760960 is a `hidden beast` number, since 1 + 6 + 6 + 11 + 27 + 609 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 4489534062 + ... + 4489534098.

It is an arithmetic number, because the mean of its divisors is an integer number (446224500).

Almost surely, 2^166112760960 is an apocalyptic number.

166112760960 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 166112760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342700416000).

166112760960 is an abundant number, since it is smaller than the sum of its proper divisors (519288071040).

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

166112760960 is a wasteful number, since it uses less digits than its factorization.

166112760960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 166112760960 in words is "one hundred sixty-six billion, one hundred twelve million, seven hundred sixty thousand, nine hundred sixty".