8220169914960 has 160 divisors (see below), whose sum is σ = 26829842780160. Its totient is φ = 2076199893504.

The previous prime is 8220169914899. The next prime is 8220169914973. The reversal of 8220169914960 is 694199610228.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 8220169914960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19965097 + ... + 20372663.

It is an arithmetic number, because the mean of its divisors is an integer number (167686517376).

Almost surely, 2^{8220169914960} is an apocalyptic number.

8220169914960 is a gapful number since it is divisible by the number (80) 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 8220169914960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13414921390080).

8220169914960 is an abundant number, since it is smaller than the sum of its proper divisors (18609672865200).

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

8220169914960 is a wasteful number, since it uses less digits than its factorization.

8220169914960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412025 (or 412019 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 57.

The spelling of 8220169914960 in words is "eight trillion, two hundred twenty billion, one hundred sixty-nine million, nine hundred fourteen thousand, nine hundred sixty".