5311706880 has 288 divisors, whose sum is σ = 18248832000. Its totient is φ = 1312505856.

The previous prime is 5311706867. The next prime is 5311706893. The reversal of 5311706880 is 886071135.

It is an interprime number because it is at equal distance from previous prime (5311706867) and next prime (5311706893).

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, 3428346 + ... + 3429894.

It is an arithmetic number, because the mean of its divisors is an integer number (63364000).

Almost surely, 2^5311706880 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 5311706880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9124416000).

5311706880 is an abundant number, since it is smaller than the sum of its proper divisors (12937125120).

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

5311706880 is a wasteful number, since it uses less digits than its factorization.

5311706880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 5311706880 is about 72881.4577241701. The cubic root of 5311706880 is about 1744.7961743632.

The spelling of 5311706880 in words is "five billion, three hundred eleven million, seven hundred six thousand, eight hundred eighty".