5118534720 has 448 divisors, whose sum is σ = 19629120000. Its totient is φ = 1248141312.

The previous prime is 5118534689. The next prime is 5118534727. The reversal of 5118534720 is 274358115.

5118534720 is a `hidden beast` number, since 5 + 1 + 185 + 3 + 472 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5118534727) 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 63 ways as a sum of consecutive naturals, for example, 22351566 + ... + 22351794.

It is an arithmetic number, because the mean of its divisors is an integer number (43815000).

Almost surely, 2^5118534720 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 5118534720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9814560000).

5118534720 is an abundant number, since it is smaller than the sum of its proper divisors (14510585280).

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

5118534720 is a wasteful number, since it uses less digits than its factorization.

5118534720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 5118534720 is about 71543.9355920542. The cubic root of 5118534720 is about 1723.3833170640.

It can be divided in two parts, 51185 and 34720, that added together give a triangular number (85905 = T₄₁₄).

The spelling of 5118534720 in words is "five billion, one hundred eighteen million, five hundred thirty-four thousand, seven hundred twenty".