5288794560 has 560 divisors, whose sum is σ = 21786226176. Its totient is φ = 1192900608.

The previous prime is 5288794513. The next prime is 5288794561. The reversal of 5288794560 is 654978825.

5288794560 is a `hidden beast` number, since 5 + 2 + 8 + 8 + 79 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5288794497 and 5288794506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5288794561) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18688179 + ... + 18688461.

Almost surely, 2^5288794560 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 5288794560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10893113088).

5288794560 is an abundant number, since it is smaller than the sum of its proper divisors (16497431616).

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

5288794560 is a wasteful number, since it uses less digits than its factorization.

5288794560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The square root of 5288794560 is about 72724.0988943830. The cubic root of 5288794560 is about 1742.2838025556.

The spelling of 5288794560 in words is "five billion, two hundred eighty-eight million, seven hundred ninety-four thousand, five hundred sixty".