5309890560 has 384 divisors, whose sum is σ = 19894853160. Its totient is φ = 1302331392.

The previous prime is 5309890541. The next prime is 5309890589. The reversal of 5309890560 is 650989035.

5309890560 is a `hidden beast` number, since 5 + 3 + 0 + 9 + 89 + 0 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2378317824 + 2931572736 = 48768^2 + 54144^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×5309890560² = 56389875518354227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19169142 + ... + 19169418.

Almost surely, 2^5309890560 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 5309890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9947426580).

5309890560 is an abundant number, since it is smaller than the sum of its proper divisors (14584962600).

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

5309890560 is a wasteful number, since it uses less digits than its factorization.

5309890560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 5309890560 is about 72868.9958761612. The cubic root of 5309890560 is about 1744.5972759959.

The spelling of 5309890560 in words is "five billion, three hundred nine million, eight hundred ninety thousand, five hundred sixty".