5288586240 has 352 divisors, whose sum is σ = 19563162624. Its totient is φ = 1194393600.

The previous prime is 5288586229. The next prime is 5288586257. The reversal of 5288586240 is 426858825.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5288586240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10859277 + ... + 10859763.

Almost surely, 2^5288586240 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 5288586240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9781581312).

5288586240 is an abundant number, since it is smaller than the sum of its proper divisors (14274576384).

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

5288586240 is a wasteful number, since it uses less digits than its factorization.

5288586240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 48.

The square root of 5288586240 is about 72722.6666177747. Note that the first 4 decimals coincide. The cubic root of 5288586240 is about 1742.2609266858.

The spelling of 5288586240 in words is "five billion, two hundred eighty-eight million, five hundred eighty-six thousand, two hundred forty".