5130705888 has 864 divisors, whose sum is σ = 20495704320. Its totient is φ = 1231718400.

The previous prime is 5130705883. The next prime is 5130705977. The reversal of 5130705888 is 8885070315.

It is a happy number.

5130705888 is a `hidden beast` number, since 513 + 0 + 7 + 0 + 58 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5130705883) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 125139148 + ... + 125139188.

It is an arithmetic number, because the mean of its divisors is an integer number (23721880).

Almost surely, 2^5130705888 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 5130705888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10247852160).

5130705888 is an abundant number, since it is smaller than the sum of its proper divisors (15364998432).

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

5130705888 is a wasteful number, since it uses less digits than its factorization.

5130705888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The square root of 5130705888 is about 71628.9458808379. The cubic root of 5130705888 is about 1724.7482248793.

The spelling of 5130705888 in words is "five billion, one hundred thirty million, seven hundred five thousand, eight hundred eighty-eight".