166151531165200 has 240 divisors, whose sum is σ = 471407556160000. Its totient is φ = 56245143951360.

The previous prime is 166151531165177. The next prime is 166151531165327. The reversal of 166151531165200 is 2561135151661.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3174136 + ... + 18503464.

Almost surely, 2^{166151531165200} is an apocalyptic number.

166151531165200 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 166151531165200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235703778080000).

166151531165200 is an abundant number, since it is smaller than the sum of its proper divisors (305256024994800).

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

166151531165200 is a wasteful number, since it uses less digits than its factorization.

166151531165200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15329447 (or 15329422 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 43.

The spelling of 166151531165200 in words is "one hundred sixty-six trillion, one hundred fifty-one billion, five hundred thirty-one million, one hundred sixty-five thousand, two hundred".