5586485760 has 400 divisors, whose sum is σ = 20721274200. Its totient is φ = 1436811264.

The previous prime is 5586485759. The next prime is 5586485777. The reversal of 5586485760 is 675846855.

5586485760 is a `hidden beast` number, since 5 + 5 + 8 + 64 + 8 + 576 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2854123776 + 2732361984 = 53424^2 + 52272^2 .

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 = 5586485697 and 5586485706.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6012976 + ... + 6013904.

Almost surely, 2^5586485760 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 5586485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10360637100).

5586485760 is an abundant number, since it is smaller than the sum of its proper divisors (15134788440).

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

5586485760 is an equidigital number, since it uses as much as digits as its factorization.

5586485760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The square root of 5586485760 is about 74742.7973787441. The cubic root of 5586485760 is about 1774.3783590516.

The spelling of 5586485760 in words is "five billion, five hundred eighty-six million, four hundred eighty-five thousand, seven hundred sixty".