5023584073536 has 448 divisors, whose sum is σ = 15755325603840. Its totient is φ = 1382768271360.

The previous prime is 5023584073511. The next prime is 5023584073553. The reversal of 5023584073536 is 6353704853205.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2270032366 + ... + 2270034578.

Almost surely, 2^{5023584073536} is an apocalyptic number.

5023584073536 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 5023584073536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7877662801920).

5023584073536 is an abundant number, since it is smaller than the sum of its proper divisors (10731741530304).

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

5023584073536 is a wasteful number, since it uses less digits than its factorization.

5023584073536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2702 (or 2692 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 51.

The spelling of 5023584073536 in words is "five trillion, twenty-three billion, five hundred eighty-four million, seventy-three thousand, five hundred thirty-six".