8219538513270 has 192 divisors, whose sum is σ = 24799216066560. Its totient is φ = 1849956309504.

The previous prime is 8219538513259. The next prime is 8219538513289. The reversal of 8219538513270 is 723158359128.

8219538513270 is a `hidden beast` number, since 8 + 2 + 1 + 9 + 53 + 8 + 513 + 2 + 70 = 666.

It is a super-2 number, since 2×8219538513270² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27768711 + ... + 28063149.

It is an arithmetic number, because the mean of its divisors is an integer number (129162583680).

Almost surely, 2^{8219538513270} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8219538513270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12399608033280).

8219538513270 is an abundant number, since it is smaller than the sum of its proper divisors (16579677553290).

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

8219538513270 is a wasteful number, since it uses less digits than its factorization.

8219538513270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295139 (or 295136 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 8219538513270 in words is "eight trillion, two hundred nineteen billion, five hundred thirty-eight million, five hundred thirteen thousand, two hundred seventy".