168227262305280 has 1408 divisors, whose sum is σ = 640026692812800. Its totient is φ = 41782372466688.

The previous prime is 168227262305251. The next prime is 168227262305303. The reversal of 168227262305280 is 82503262722861.

168227262305280 is a `hidden beast` number, since 1 + 6 + 8 + 2 + 2 + 7 + 2 + 623 + 0 + 5 + 2 + 8 + 0 = 666.

168227262305280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 37693760329 + ... + 37693764791.

Almost surely, 2^{168227262305280} is an apocalyptic number.

168227262305280 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 168227262305280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320013346406400).

168227262305280 is an abundant number, since it is smaller than the sum of its proper divisors (471799430507520).

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

168227262305280 is a wasteful number, since it uses less digits than its factorization.

168227262305280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4756 (or 4732 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 168227262305280 in words is "one hundred sixty-eight trillion, two hundred twenty-seven billion, two hundred sixty-two million, three hundred five thousand, two hundred eighty".