5309085600 has 1152 divisors, whose sum is σ = 24603425280. Its totient is φ = 1074954240.

The previous prime is 5309085599. The next prime is 5309085611. The reversal of 5309085600 is 65809035.

5309085600 is a `hidden beast` number, since 5 + 3 + 0 + 90 + 8 + 560 + 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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 72727164 + ... + 72727236.

It is an arithmetic number, because the mean of its divisors is an integer number (21357140).

Almost surely, 2^5309085600 is an apocalyptic number.

5309085600 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 5309085600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12301712640).

5309085600 is an abundant number, since it is smaller than the sum of its proper divisors (19294339680).

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

5309085600 is a wasteful number, since it uses less digits than its factorization.

5309085600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5309085600 is about 72863.4723301052. The cubic root of 5309085600 is about 1744.5091133507.

The spelling of 5309085600 in words is "five billion, three hundred nine million, eighty-five thousand, six hundred".