5286768480 has 384 divisors, whose sum is σ = 21424435200. Its totient is φ = 1192568832.

The previous prime is 5286768463. The next prime is 5286768499. The reversal of 5286768480 is 848676825.

5286768480 is a `hidden beast` number, since 528 + 6 + 76 + 8 + 48 + 0 = 666.

It is a super-2 number, since 2×5286768480² = 55899841922243020800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2387854 + ... + 2390066.

It is an arithmetic number, because the mean of its divisors is an integer number (55792800).

Almost surely, 2^5286768480 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 5286768480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10712217600).

5286768480 is an abundant number, since it is smaller than the sum of its proper divisors (16137666720).

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

5286768480 is a wasteful number, since it uses less digits than its factorization.

5286768480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The square root of 5286768480 is about 72710.1676521241. The cubic root of 5286768480 is about 1742.0612907783.

The spelling of 5286768480 in words is "five billion, two hundred eighty-six million, seven hundred sixty-eight thousand, four hundred eighty".