5053632768 has 360 divisors, whose sum is σ = 16145310720. Its totient is φ = 1567641600.

The previous prime is 5053632767. The next prime is 5053632769. The reversal of 5053632768 is 8672363505.

5053632768 is a `hidden beast` number, since 5 + 0 + 5 + 3 + 632 + 7 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (5053632767) and next prime (5053632769).

It is not an unprimeable number, because it can be changed into a prime (5053632761) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 39792321 + ... + 39792447.

Almost surely, 2^5053632768 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 5053632768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8072655360).

5053632768 is an abundant number, since it is smaller than the sum of its proper divisors (11091677952).

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

5053632768 is a wasteful number, since it uses less digits than its factorization.

5053632768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 5053632768 is about 71088.9074891435. The cubic root of 5053632768 is about 1716.0682646812.

The spelling of 5053632768 in words is "five billion, fifty-three million, six hundred thirty-two thousand, seven hundred sixty-eight".