5856424560 has 480 divisors, whose sum is σ = 23430071808. Its totient is φ = 1283143680.

The previous prime is 5856424559. The next prime is 5856424591. The reversal of 5856424560 is 654246585.

5856424560 is a `hidden beast` number, since 5 + 8 + 5 + 64 + 24 + 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13219699 + ... + 13220141.

Almost surely, 2^5856424560 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 5856424560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11715035904).

5856424560 is an abundant number, since it is smaller than the sum of its proper divisors (17573647248).

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

5856424560 is a wasteful number, since it uses less digits than its factorization.

5856424560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The square root of 5856424560 is about 76527.2798418969. The cubic root of 5856424560 is about 1802.5093150437.

The spelling of 5856424560 in words is "five billion, eight hundred fifty-six million, four hundred twenty-four thousand, five hundred sixty".