166859596800 has 1584 divisors, whose sum is σ = 710967151440. Its totient is φ = 36993761280.

The previous prime is 166859596763. The next prime is 166859596837. The reversal of 166859596800 is 8695958661.

It is an interprime number because it is at equal distance from previous prime (166859596763) and next prime (166859596837).

It can be written as a sum of positive squares in 24 ways, for example, as 153940091904 + 12919504896 = 392352^2 + 113664^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1476633544 + ... + 1476633656.

Almost surely, 2^166859596800 is an apocalyptic number.

166859596800 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 166859596800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355483575720).

166859596800 is an abundant number, since it is smaller than the sum of its proper divisors (544107554640).

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

166859596800 is a wasteful number, since it uses less digits than its factorization.

166859596800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 166859596800 in words is "one hundred sixty-six billion, eight hundred fifty-nine million, five hundred ninety-six thousand, eight hundred".