166325283532800 has 4992 divisors, whose sum is σ = 768240626278400. Its totient is φ = 34432934215680.

The previous prime is 166325283532769. The next prime is 166325283532841. The reversal of 166325283532800 is 8235382523661.

166325283532800 is a `hidden beast` number, since 1 + 6 + 6 + 3 + 2 + 5 + 2 + 8 + 353 + 280 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1059396710322 + ... + 1059396710478.

Almost surely, 2^{166325283532800} is an apocalyptic number.

166325283532800 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 166325283532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384120313139200).

166325283532800 is an abundant number, since it is smaller than the sum of its proper divisors (601915342745600).

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

166325283532800 is a wasteful number, since it uses less digits than its factorization.

166325283532800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 166325283532800 in words is "one hundred sixty-six trillion, three hundred twenty-five billion, two hundred eighty-three million, five hundred thirty-two thousand, eight hundred".