5618536560 has 480 divisors, whose sum is σ = 24032211840. Its totient is φ = 1144184832.

The previous prime is 5618536559. The next prime is 5618536579. The reversal of 5618536560 is 656358165.

5618536560 is a `hidden beast` number, since 5 + 6 + 1 + 85 + 3 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1898602 + ... + 1901558.

It is an arithmetic number, because the mean of its divisors is an integer number (50067108).

Almost surely, 2^5618536560 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 5618536560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12016105920).

5618536560 is an abundant number, since it is smaller than the sum of its proper divisors (18413675280).

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

5618536560 is a wasteful number, since it uses less digits than its factorization.

5618536560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3025 (or 3016 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 5618536560 is about 74956.8980147925. The cubic root of 5618536560 is about 1777.7652129089.

The spelling of 5618536560 in words is "five billion, six hundred eighteen million, five hundred thirty-six thousand, five hundred sixty".