166942908720 has 480 divisors, whose sum is σ = 696235438080. Its totient is φ = 34983290880.

The previous prime is 166942908709. The next prime is 166942908731. The reversal of 166942908720 is 27809249661.

It is an interprime number because it is at equal distance from previous prime (166942908709) and next prime (166942908731).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2940442 + ... + 2996678.

It is an arithmetic number, because the mean of its divisors is an integer number (1450490496).

Almost surely, 2^166942908720 is an apocalyptic number.

166942908720 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 166942908720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348117719040).

166942908720 is an abundant number, since it is smaller than the sum of its proper divisors (529292529360).

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

166942908720 is a wasteful number, since it uses less digits than its factorization.

166942908720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56313 (or 56304 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 166942908720 in words is "one hundred sixty-six billion, nine hundred forty-two million, nine hundred eight thousand, seven hundred twenty".