5384687286528 has 576 divisors, whose sum is σ = 17962501939200. Its totient is φ = 1576350720000.

The previous prime is 5384687286509. The next prime is 5384687286569. The reversal of 5384687286528 is 8256827864835.

5384687286528 is a `hidden beast` number, since 5 + 38 + 4 + 68 + 7 + 2 + 8 + 6 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1652249763 + ... + 1652253021.

It is an arithmetic number, because the mean of its divisors is an integer number (31184899200).

Almost surely, 2^{5384687286528} 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 5384687286528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8981250969600).

5384687286528 is an abundant number, since it is smaller than the sum of its proper divisors (12577814652672).

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

5384687286528 is a wasteful number, since it uses less digits than its factorization.

5384687286528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4027 (or 4007 counting only the distinct ones).

The product of its digits is 1238630400, while the sum is 72.

The spelling of 5384687286528 in words is "five trillion, three hundred eighty-four billion, six hundred eighty-seven million, two hundred eighty-six thousand, five hundred twenty-eight".