220167164832480 has 1152 divisors, whose sum is σ = 820553777971200. Its totient is φ = 55671830323200.

The previous prime is 220167164832449. The next prime is 220167164832533. The reversal of 220167164832480 is 84238461761022.

220167164832480 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 6 + 71 + 64 + 8 + 32 + 480 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17013142810 + ... + 17013155750.

It is an arithmetic number, because the mean of its divisors is an integer number (712286265600).

Almost surely, 2^{220167164832480} is an apocalyptic number.

220167164832480 is a gapful number since it is divisible by the number (20) 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 220167164832480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410276888985600).

220167164832480 is an abundant number, since it is smaller than the sum of its proper divisors (600386613138720).

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

220167164832480 is a wasteful number, since it uses less digits than its factorization.

220167164832480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13270 (or 13250 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 220167164832480 in words is "two hundred twenty trillion, one hundred sixty-seven billion, one hundred sixty-four million, eight hundred thirty-two thousand, four hundred eighty".