5287439259648 has 1152 divisors, whose sum is σ = 19730032358400. Its totient is φ = 1326573158400.

The previous prime is 5287439259629. The next prime is 5287439259667. The reversal of 5287439259648 is 8469529347825.

5287439259648 is a `hidden beast` number, since 5 + 2 + 87 + 439 + 2 + 59 + 64 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (5287439259629) and next prime (5287439259667).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×5287439259648² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 3453584643 + ... + 3453586173.

It is an arithmetic number, because the mean of its divisors is an integer number (17126764200).

Almost surely, 2^{5287439259648} is an apocalyptic number.

5287439259648 is a gapful number since it is divisible by the number (58) 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 5287439259648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9865016179200).

5287439259648 is an abundant number, since it is smaller than the sum of its proper divisors (14442593098752).

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

5287439259648 is a wasteful number, since it uses less digits than its factorization.

5287439259648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1656 counting only the distinct ones).

The product of its digits is 1045094400, while the sum is 72.

The spelling of 5287439259648 in words is "five trillion, two hundred eighty-seven billion, four hundred thirty-nine million, two hundred fifty-nine thousand, six hundred forty-eight".