5258687616 has 512 divisors, whose sum is σ = 19960012800. Its totient is φ = 1324781568.

The previous prime is 5258687563. The next prime is 5258687617. The reversal of 5258687616 is 6167868525.

5258687616 is a `hidden beast` number, since 52 + 586 + 8 + 7 + 6 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5258687617) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 7233045 + ... + 7233771.

It is an arithmetic number, because the mean of its divisors is an integer number (38984400).

Almost surely, 2^5258687616 is an apocalyptic number.

5258687616 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 5258687616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9980006400).

5258687616 is an abundant number, since it is smaller than the sum of its proper divisors (14701325184).

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

5258687616 is a wasteful number, since it uses less digits than its factorization.

5258687616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 775 counting only the distinct ones).

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

The square root of 5258687616 is about 72516.8091962133. The cubic root of 5258687616 is about 1738.9714730059.

The spelling of 5258687616 in words is "five billion, two hundred fifty-eight million, six hundred eighty-seven thousand, six hundred sixteen".