5185587456 has 216 divisors, whose sum is σ = 17453339904. Its totient is φ = 1449861120.

The previous prime is 5185587443. The next prime is 5185587479. The reversal of 5185587456 is 6547855815.

5185587456 is a `hidden beast` number, since 5 + 1 + 8 + 5 + 587 + 4 + 56 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 754596 + ... + 761436.

Almost surely, 2^5185587456 is an apocalyptic number.

5185587456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5185587456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8726669952).

5185587456 is an abundant number, since it is smaller than the sum of its proper divisors (12267752448).

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

5185587456 is a wasteful number, since it uses less digits than its factorization.

5185587456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6917 (or 6900 counting only the distinct ones).

The product of its digits is 6720000, while the sum is 54.

The square root of 5185587456 is about 72011.0231561807. The cubic root of 5185587456 is about 1730.8761258870.

The spelling of 5185587456 in words is "five billion, one hundred eighty-five million, five hundred eighty-seven thousand, four hundred fifty-six".