166165834560 has 336 divisors, whose sum is σ = 610427227200. Its totient is φ = 38161981440.

The previous prime is 166165834547. The next prime is 166165834567. The reversal of 166165834560 is 65438561661.

It is a super-2 number, since 2×166165834560² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166165834567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2169396 + ... + 2244684.

It is an arithmetic number, because the mean of its divisors is an integer number (1816747700).

Almost surely, 2^166165834560 is an apocalyptic number.

166165834560 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 166165834560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305213613600).

166165834560 is an abundant number, since it is smaller than the sum of its proper divisors (444261392640).

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

166165834560 is a wasteful number, since it uses less digits than its factorization.

166165834560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75350 (or 75329 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 166165834560 in words is "one hundred sixty-six billion, one hundred sixty-five million, eight hundred thirty-four thousand, five hundred sixty".