8220953538 has 162 divisors, whose sum is σ = 21516214707. Its totient is φ = 2261906640.

The previous prime is 8220953491. The next prime is 8220953557. The reversal of 8220953538 is 8353590228.

8220953538 is a `hidden beast` number, since 8 + 2 + 20 + 95 + 3 + 538 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4110476769 + 4110476769 = 64113^2 + 64113^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=64113.

It is a junction number, because it is equal to n+sod(n) for n = 8220953493 and 8220953502.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 115788043 + ... + 115788113.

Almost surely, 2^8220953538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8220953538

8220953538 is an abundant number, since it is smaller than the sum of its proper divisors (13295261169).

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

8220953538 is a wasteful number, since it uses less digits than its factorization.

8220953538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 8220953538 is about 90669.4741244262. The cubic root of 8220953538 is about 2018.2458334289.

The spelling of 8220953538 in words is "eight billion, two hundred twenty million, nine hundred fifty-three thousand, five hundred thirty-eight".