8212596016320 has 336 divisors, whose sum is σ = 29401298840160. Its totient is φ = 2101531557888.

The previous prime is 8212596016249. The next prime is 8212596016363. The reversal of 8212596016320 is 236106952128.

8212596016320 is a `hidden beast` number, since 8 + 2 + 1 + 2 + 5 + 9 + 6 + 0 + 1 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13312132 + ... + 13915388.

Almost surely, 2^{8212596016320} is an apocalyptic number.

8212596016320 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 8212596016320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14700649420080).

8212596016320 is an abundant number, since it is smaller than the sum of its proper divisors (21188702823840).

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

8212596016320 is a wasteful number, since it uses less digits than its factorization.

8212596016320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603472 (or 603459 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 8212596016320 in words is "eight trillion, two hundred twelve billion, five hundred ninety-six million, sixteen thousand, three hundred twenty".