5087982564 has 216 divisors, whose sum is σ = 16440365760. Its totient is φ = 1295834112.

The previous prime is 5087982511. The next prime is 5087982577. The reversal of 5087982564 is 4652897805.

5087982564 is a `hidden beast` number, since 5 + 0 + 8 + 79 + 8 + 2 + 564 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5087982564.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1381894 + ... + 1385570.

Almost surely, 2^5087982564 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 5087982564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8220182880).

5087982564 is an abundant number, since it is smaller than the sum of its proper divisors (11352383196).

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

5087982564 is a wasteful number, since it uses less digits than its factorization.

5087982564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3747 (or 3725 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The square root of 5087982564 is about 71330.0957801123. The cubic root of 5087982564 is about 1719.9475560898.

The spelling of 5087982564 in words is "five billion, eighty-seven million, nine hundred eighty-two thousand, five hundred sixty-four".