166151720464200 has 960 divisors, whose sum is σ = 615695712952320. Its totient is φ = 41459470272000.

The previous prime is 166151720464189. The next prime is 166151720464243. The reversal of 166151720464200 is 2464027151661.

166151720464200 is a `hidden beast` number, since 1 + 6 + 6 + 1 + 5 + 17 + 204 + 6 + 420 + 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 239 ways as a sum of consecutive naturals, for example, 1959039795 + ... + 1959124605.

It is an arithmetic number, because the mean of its divisors is an integer number (641349700992).

Almost surely, 2^{166151720464200} is an apocalyptic number.

166151720464200 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 166151720464200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307847856476160).

166151720464200 is an abundant number, since it is smaller than the sum of its proper divisors (449543992488120).

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

166151720464200 is a wasteful number, since it uses less digits than its factorization.

166151720464200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85000 (or 84982 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 166151720464200 in words is "one hundred sixty-six trillion, one hundred fifty-one billion, seven hundred twenty million, four hundred sixty-four thousand, two hundred".