5063834880 has 810 divisors, whose sum is σ = 20842364466. Its totient is φ = 1173159936.

The previous prime is 5063834861. The next prime is 5063834887. The reversal of 5063834880 is 884383605.

5063834880 is a `hidden beast` number, since 5 + 0 + 638 + 3 + 4 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 1423401984 + 3640432896 = 37728^2 + 60336^2 .

It is a tau number, because it is divible by the number of its divisors (810).

It is a super-2 number, since 2×5063834880² = 51284847383809228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5063834887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 297872632 + ... + 297872648.

Almost surely, 2^5063834880 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 5063834880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10421182233).

5063834880 is an abundant number, since it is smaller than the sum of its proper divisors (15778529586).

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

5063834880 is a wasteful number, since it uses less digits than its factorization.

5063834880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 5063834880 is about 71160.6273159533. The cubic root of 5063834880 is about 1717.2222696929. Note that the first 4 decimals are identical.

Multiplying 5063834880 by its sum of digits (45), we get a square (227872569600 = 477360²).

5063834880 divided by its sum of digits (45) gives a square (112529664 = 10608²).

The spelling of 5063834880 in words is "five billion, sixty-three million, eight hundred thirty-four thousand, eight hundred eighty".