166431960000 has 210 divisors, whose sum is σ = 596119424472. Its totient is φ = 44381760000.

The previous prime is 166431959989. The next prime is 166431960031. The reversal of 166431960000 is 69134661.

166431960000 is a `hidden beast` number, since 1 + 6 + 6 + 43 + 1 + 9 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 128845 + ... + 591155.

Almost surely, 2^166431960000 is an apocalyptic number.

166431960000 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 166431960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298059712236).

166431960000 is an abundant number, since it is smaller than the sum of its proper divisors (429687464472).

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

166431960000 is an equidigital number, since it uses as much as digits as its factorization.

166431960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462349 (or 462321 counting only the distinct ones).

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

The spelling of 166431960000 in words is "one hundred sixty-six billion, four hundred thirty-one million, nine hundred sixty thousand".