8057967886336 has 135 divisors (see below), whose sum is σ = 16409136933567. Its totient is φ = 3956859371520.

The previous prime is 8057967886321. The next prime is 8057967886369. The reversal of 8057967886336 is 6336887697508.

The square root of 8057967886336 is 2838656.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24344313691 + ... + 24344314021.

Almost surely, 2^{8057967886336} is an apocalyptic number.

8057967886336 is the 2838656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8057967886336

8057967886336 is an abundant number, since it is smaller than the sum of its proper divisors (8351169047231).

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

8057967886336 is an frugal number, since it uses more digits than its factorization.

8057967886336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 2194698240, while the sum is 76.

The spelling of 8057967886336 in words is "eight trillion, fifty-seven billion, nine hundred sixty-seven million, eight hundred eighty-six thousand, three hundred thirty-six".