5286411648 has 768 divisors, whose sum is σ = 20093184000. Its totient is φ = 1358622720.

The previous prime is 5286411631. The next prime is 5286411649. The reversal of 5286411648 is 8461146825.

It is a happy number.

5286411648 is a `hidden beast` number, since 528 + 6 + 4 + 116 + 4 + 8 = 666.

It is a super-2 number, since 2×5286411648² = 55892296224220151808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5286411649) 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, 99743590 + ... + 99743642.

It is an arithmetic number, because the mean of its divisors is an integer number (26163000).

Almost surely, 2^5286411648 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 5286411648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10046592000).

5286411648 is an abundant number, since it is smaller than the sum of its proper divisors (14806772352).

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

5286411648 is a wasteful number, since it uses less digits than its factorization.

5286411648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 115 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 5286411648 is about 72707.7138135975. The cubic root of 5286411648 is about 1742.0220962493.

The spelling of 5286411648 in words is "five billion, two hundred eighty-six million, four hundred eleven thousand, six hundred forty-eight".