5290306560 has 1056 divisors, whose sum is σ = 24194557440. Its totient is φ = 1083801600.

The previous prime is 5290306559. The next prime is 5290306561. The reversal of 5290306560 is 656030925.

5290306560 is a `hidden beast` number, since 5 + 2 + 90 + 3 + 0 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (5290306559) and next prime (5290306561).

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-3 number, since 3×5290306560³ (a number of 30 digits) contains 333 as substring.

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 (5290306561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74511325 + ... + 74511395.

Almost surely, 2^5290306560 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 5290306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12097278720).

5290306560 is an abundant number, since it is smaller than the sum of its proper divisors (18904250880).

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

5290306560 is a wasteful number, since it uses less digits than its factorization.

5290306560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 5290306560 is about 72734.4936051665. The cubic root of 5290306560 is about 1742.4498190948.

The spelling of 5290306560 in words is "five billion, two hundred ninety million, three hundred six thousand, five hundred sixty".