166820224872000 has 896 divisors, whose sum is σ = 639024832143360. Its totient is φ = 37556413440000.

The previous prime is 166820224871999. The next prime is 166820224872001. The reversal of 166820224872000 is 278422028661.

It is an interprime number because it is at equal distance from previous prime (166820224871999) and next prime (166820224872001).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (166820224872001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13228145695 + ... + 13228158305.

Almost surely, 2^{166820224872000} is an apocalyptic number.

166820224872000 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 166820224872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319512416071680).

166820224872000 is an abundant number, since it is smaller than the sum of its proper divisors (472204607271360).

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

166820224872000 is a wasteful number, since it uses less digits than its factorization.

166820224872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13828 (or 13808 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 166820224872000 in words is "one hundred sixty-six trillion, eight hundred twenty billion, two hundred twenty-four million, eight hundred seventy-two thousand".