5656716288 has 264 divisors, whose sum is σ = 17146212408. Its totient is φ = 1794244608.

The previous prime is 5656716287. The next prime is 5656716319. The reversal of 5656716288 is 8826176565.

5656716288 is a `hidden beast` number, since 5 + 6 + 5 + 6 + 7 + 1 + 628 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 785793024 + 4870923264 = 28032^2 + 69792^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5656716283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18072420 + ... + 18072732.

Almost surely, 2^5656716288 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 5656716288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8573106204).

5656716288 is an abundant number, since it is smaller than the sum of its proper divisors (11489496120).

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

5656716288 is a wasteful number, since it uses less digits than its factorization.

5656716288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 408 counting only the distinct ones).

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

The square root of 5656716288 is about 75211.1447060873. The cubic root of 5656716288 is about 1781.7829511139.

The spelling of 5656716288 in words is "five billion, six hundred fifty-six million, seven hundred sixteen thousand, two hundred eighty-eight".