166290432000 has 1792 divisors, whose sum is σ = 745869496320. Its totient is φ = 31850496000.

The previous prime is 166290431999. The next prime is 166290432059. The reversal of 166290432000 is 234092661.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4494335982 + ... + 4494336018.

Almost surely, 2^166290432000 is an apocalyptic number.

166290432000 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 166290432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372934748160).

166290432000 is an abundant number, since it is smaller than the sum of its proper divisors (579579064320).

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

166290432000 is a wasteful number, since it uses less digits than its factorization.

166290432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 166290432000 in words is "one hundred sixty-six billion, two hundred ninety million, four hundred thirty-two thousand".