5817060480 has 768 divisors, whose sum is σ = 24093216000. Its totient is φ = 1192181760.

The previous prime is 5817060427. The next prime is 5817060517. The reversal of 5817060480 is 840607185.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79685724 + ... + 79685796.

It is an arithmetic number, because the mean of its divisors is an integer number (31371375).

Almost surely, 2^5817060480 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 5817060480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12046608000).

5817060480 is an abundant number, since it is smaller than the sum of its proper divisors (18276155520).

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

5817060480 is a wasteful number, since it uses less digits than its factorization.

5817060480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 5817060480 is about 76269.6563516580. The cubic root of 5817060480 is about 1798.4616980686.

The spelling of 5817060480 in words is "five billion, eight hundred seventeen million, sixty thousand, four hundred eighty".