166173003360 has 1152 divisors, whose sum is σ = 735626271744. Its totient is φ = 34488115200.

The previous prime is 166173003349. The next prime is 166173003371. The reversal of 166173003360 is 63300371661.

166173003360 is a `hidden beast` number, since 1 + 6 + 6 + 17 + 300 + 336 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (166173003349) and next prime (166173003371).

It is a super-2 number, since 2×166173003360² (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 a congruent number.

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, 237051010 + ... + 237051710.

It is an arithmetic number, because the mean of its divisors is an integer number (638564472).

Almost surely, 2^166173003360 is an apocalyptic number.

166173003360 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 166173003360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367813135872).

166173003360 is an abundant number, since it is smaller than the sum of its proper divisors (569453268384).

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

166173003360 is a wasteful number, since it uses less digits than its factorization.

166173003360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 166173003360 in words is "one hundred sixty-six billion, one hundred seventy-three million, three thousand, three hundred sixty".