8053984512 has 432 divisors, whose sum is σ = 27855959040. Its totient is φ = 2189721600.

The previous prime is 8053984507. The next prime is 8053984517. The reversal of 8053984512 is 2154893508.

8053984512 is a `hidden beast` number, since 8 + 0 + 53 + 9 + 84 + 512 = 666.

It is an interprime number because it is at equal distance from previous prime (8053984507) and next prime (8053984517).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8053984517) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44497062 + ... + 44497242.

Almost surely, 2^8053984512 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 8053984512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13927979520).

8053984512 is an abundant number, since it is smaller than the sum of its proper divisors (19801974528).

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

8053984512 is a wasteful number, since it uses less digits than its factorization.

8053984512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 8053984512 is about 89743.9942948830. The cubic root of 8053984512 is about 2004.4886279068.

The spelling of 8053984512 in words is "eight billion, fifty-three million, nine hundred eighty-four thousand, five hundred twelve".