5017848385536 has 312 divisors, whose sum is σ = 16576796396160. Its totient is φ = 1432636489728.

The previous prime is 5017848385499. The next prime is 5017848385559. The reversal of 5017848385536 is 6355838487105.

5017848385536 is a `hidden beast` number, since 5 + 0 + 1 + 7 + 8 + 48 + 38 + 553 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 402290596 + ... + 402303068.

It is an arithmetic number, because the mean of its divisors is an integer number (53130757680).

Almost surely, 2^{5017848385536} is an apocalyptic number.

5017848385536 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 5017848385536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8288398198080).

5017848385536 is an abundant number, since it is smaller than the sum of its proper divisors (11558948010624).

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

5017848385536 is a wasteful number, since it uses less digits than its factorization.

5017848385536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14069 (or 14044 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 5017848385536 in words is "five trillion, seventeen billion, eight hundred forty-eight million, three hundred eighty-five thousand, five hundred thirty-six".