8053827936 has 384 divisors, whose sum is σ = 27794866176. Its totient is φ = 1979873280.

The previous prime is 8053827917. The next prime is 8053827949. The reversal of 8053827936 is 6397283508.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21591846 + ... + 21592218.

It is an arithmetic number, because the mean of its divisors is an integer number (72382464).

Almost surely, 2^8053827936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8053827936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13897433088).

8053827936 is an abundant number, since it is smaller than the sum of its proper divisors (19741038240).

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

8053827936 is a wasteful number, since it uses less digits than its factorization.

8053827936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The square root of 8053827936 is about 89743.1219425756. The cubic root of 8053827936 is about 2004.4756381936.

It can be divided in two parts, 805382 and 7936, that added together give a palindrome (813318).

The spelling of 8053827936 in words is "eight billion, fifty-three million, eight hundred twenty-seven thousand, nine hundred thirty-six".