166690321200 has 1440 divisors, whose sum is σ = 698152815360. Its totient is φ = 37847347200.

The previous prime is 166690321177. The next prime is 166690321319. The reversal of 166690321200 is 2123096661.

It is a happy number.

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 287 ways as a sum of consecutive naturals, for example, 1272445135 + ... + 1272445265.

It is an arithmetic number, because the mean of its divisors is an integer number (484828344).

Almost surely, 2^166690321200 is an apocalyptic number.

166690321200 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 166690321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349076407680).

166690321200 is an abundant number, since it is smaller than the sum of its proper divisors (531462494160).

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

166690321200 is a wasteful number, since it uses less digits than its factorization.

166690321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 166690321200 in words is "one hundred sixty-six billion, six hundred ninety million, three hundred twenty-one thousand, two hundred".