5286677760 has 864 divisors, whose sum is σ = 23666576640. Its totient is φ = 1088225280.

The previous prime is 5286677729. The next prime is 5286677777. The reversal of 5286677760 is 677766825.

It is a tau number, because it is divible by the number of its divisors (864).

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 = 5286677697 and 5286677706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128943340 + ... + 128943380.

Almost surely, 2^5286677760 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 5286677760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11833288320).

5286677760 is an abundant number, since it is smaller than the sum of its proper divisors (18379898880).

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

5286677760 is a wasteful number, since it uses less digits than its factorization.

5286677760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The square root of 5286677760 is about 72709.5438027223. The cubic root of 5286677760 is about 1742.0513262347.

The spelling of 5286677760 in words is "five billion, two hundred eighty-six million, six hundred seventy-seven thousand, seven hundred sixty".