5116288320 has 896 divisors, whose sum is σ = 21936821760. Its totient is φ = 1105920000.

The previous prime is 5116288301. The next prime is 5116288349. The reversal of 5116288320 is 238826115.

It is a happy number.

5116288320 is a `hidden beast` number, since 5 + 1 + 1 + 628 + 8 + 3 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50656270 + ... + 50656370.

It is an arithmetic number, because the mean of its divisors is an integer number (24483060).

Almost surely, 2^5116288320 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 5116288320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10968410880).

5116288320 is an abundant number, since it is smaller than the sum of its proper divisors (16820533440).

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

5116288320 is a wasteful number, since it uses less digits than its factorization.

5116288320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5116288320 is about 71528.2344252953. The cubic root of 5116288320 is about 1723.1311632095.

It can be divided in two parts, 511 and 6288320, that added together give a triangular number (6288831 = T₃₅₄₆).

The spelling of 5116288320 in words is "five billion, one hundred sixteen million, two hundred eighty-eight thousand, three hundred twenty".