166597540200 has 1728 divisors, whose sum is σ = 747127180800. Its totient is φ = 32920473600.

The previous prime is 166597540183. The next prime is 166597540201. The reversal of 166597540200 is 2045795661.

166597540200 is a `hidden beast` number, since 1 + 6 + 6 + 597 + 54 + 0 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (166597540201) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1528417746 + ... + 1528417854.

Almost surely, 2^166597540200 is an apocalyptic number.

166597540200 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 166597540200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373563590400).

166597540200 is an abundant number, since it is smaller than the sum of its proper divisors (580529640600).

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

166597540200 is a wasteful number, since it uses less digits than its factorization.

166597540200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 166597540200 in words is "one hundred sixty-six billion, five hundred ninety-seven million, five hundred forty thousand, two hundred".