166702866900 has 288 divisors, whose sum is σ = 515935728000. Its totient is φ = 41437992960.

The previous prime is 166702866853. The next prime is 166702866931. The reversal of 166702866900 is 9668207661.

It is a super-2 number, since 2×166702866900² (a number of 23 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 97543246 + ... + 97544954.

It is an arithmetic number, because the mean of its divisors is an integer number (1791443500).

Almost surely, 2^166702866900 is an apocalyptic number.

166702866900 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 166702866900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257967864000).

166702866900 is an abundant number, since it is smaller than the sum of its proper divisors (349232861100).

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

166702866900 is a wasteful number, since it uses less digits than its factorization.

166702866900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 166702866900 in words is "one hundred sixty-six billion, seven hundred two million, eight hundred sixty-six thousand, nine hundred".