166939315200 has 1980 divisors, whose sum is σ = 756281541312. Its totient is φ = 36229939200.

The previous prime is 166939315187. The next prime is 166939315289. The reversal of 166939315200 is 2513939661.

166939315200 is a `hidden beast` number, since 1 + 6 + 6 + 93 + 9 + 31 + 520 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 3149798374 + ... + 3149798426.

Almost surely, 2^166939315200 is an apocalyptic number.

166939315200 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 166939315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378140770656).

166939315200 is an abundant number, since it is smaller than the sum of its proper divisors (589342226112).

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

166939315200 is a wasteful number, since it uses less digits than its factorization.

166939315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 166939315200 in words is "one hundred sixty-six billion, nine hundred thirty-nine million, three hundred fifteen thousand, two hundred".