5066588800 has 384 divisors, whose sum is σ = 15638999040. Its totient is φ = 1579253760.

The previous prime is 5066588789. The next prime is 5066588803. The reversal of 5066588800 is 88856605.

It is not an unprimeable number, because it can be changed into a prime (5066588803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36982332 + ... + 36982468.

It is an arithmetic number, because the mean of its divisors is an integer number (40726560).

Almost surely, 2^5066588800 is an apocalyptic number.

5066588800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5066588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7819499520).

5066588800 is an abundant number, since it is smaller than the sum of its proper divisors (10572410240).

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

5066588800 is a wasteful number, since it uses less digits than its factorization.

5066588800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 46.

The square root of 5066588800 is about 71179.9747119933. The cubic root of 5066588800 is about 1717.5335117873.

The spelling of 5066588800 in words is "five billion, sixty-six million, five hundred eighty-eight thousand, eight hundred".