8212269711360 has 960 divisors, whose sum is σ = 31462233788160. Its totient is φ = 1802627973120.

The previous prime is 8212269711323. The next prime is 8212269711361. The reversal of 8212269711360 is 631179622128.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8212269711361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1862612836 + ... + 1862617244.

It is an arithmetic number, because the mean of its divisors is an integer number (32773160196).

Almost surely, 2^{8212269711360} is an apocalyptic number.

8212269711360 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 8212269711360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15731116894080).

8212269711360 is an abundant number, since it is smaller than the sum of its proper divisors (23249964076800).

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

8212269711360 is a wasteful number, since it uses less digits than its factorization.

8212269711360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4522 (or 4496 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 8212269711360 in words is "eight trillion, two hundred twelve billion, two hundred sixty-nine million, seven hundred eleven thousand, three hundred sixty".