166170009600 has 1344 divisors, whose sum is σ = 719635726080. Its totient is φ = 37265080320.

The previous prime is 166170009589. The next prime is 166170009611. The reversal of 166170009600 is 6900071661.

It is an interprime number because it is at equal distance from previous prime (166170009589) and next prime (166170009611).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×166170009600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3135283174 + ... + 3135283226.

Almost surely, 2^166170009600 is an apocalyptic number.

166170009600 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 166170009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359817863040).

166170009600 is an abundant number, since it is smaller than the sum of its proper divisors (553465716480).

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

166170009600 is an frugal number, since it uses more digits than its factorization.

166170009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 166170009600 in words is "one hundred sixty-six billion, one hundred seventy million, nine thousand, six hundred".