168221878272 has 576 divisors, whose sum is σ = 589744995840. Its totient is φ = 46903836672.

The previous prime is 168221878247. The next prime is 168221878289. The reversal of 168221878272 is 272878122861.

168221878272 is a `hidden beast` number, since 16 + 82 + 218 + 78 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149796303 + ... + 149797425.

It is an arithmetic number, because the mean of its divisors is an integer number (1023862840).

Almost surely, 2^168221878272 is an apocalyptic number.

168221878272 is a gapful number since it is divisible by the number (12) 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 168221878272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294872497920).

168221878272 is an abundant number, since it is smaller than the sum of its proper divisors (421523117568).

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

168221878272 is an equidigital number, since it uses as much as digits as its factorization.

168221878272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1178 counting only the distinct ones).

The product of its digits is 2408448, while the sum is 54.

The spelling of 168221878272 in words is "one hundred sixty-eight billion, two hundred twenty-one million, eight hundred seventy-eight thousand, two hundred seventy-two".