5289216565248 has 896 divisors, whose sum is σ = 20213214336000. Its totient is φ = 1326325432320.

The previous prime is 5289216565147. The next prime is 5289216565273. The reversal of 5289216565248 is 8425656129825.

5289216565248 is a `hidden beast` number, since 5 + 2 + 8 + 9 + 21 + 6 + 565 + 2 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 493898518 + ... + 493909226.

It is an arithmetic number, because the mean of its divisors is an integer number (22559391000).

Almost surely, 2^{5289216565248} is an apocalyptic number.

5289216565248 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 5289216565248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10106607168000).

5289216565248 is an abundant number, since it is smaller than the sum of its proper divisors (14923997770752).

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

5289216565248 is a wasteful number, since it uses less digits than its factorization.

5289216565248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10791 (or 10761 counting only the distinct ones).

The product of its digits is 82944000, while the sum is 63.

The spelling of 5289216565248 in words is "five trillion, two hundred eighty-nine billion, two hundred sixteen million, five hundred sixty-five thousand, two hundred forty-eight".