5093537209280 has 448 divisors, whose sum is σ = 13948279252992. Its totient is φ = 1755037040640.

The previous prime is 5093537209261. The next prime is 5093537209337. The reversal of 5093537209280 is 829027353905.

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, 7523688302 + ... + 7523688978.

It is an arithmetic number, because the mean of its divisors is an integer number (31134551904).

Almost surely, 2^{5093537209280} 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 5093537209280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6974139626496).

5093537209280 is an abundant number, since it is smaller than the sum of its proper divisors (8854742043712).

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

5093537209280 is a wasteful number, since it uses less digits than its factorization.

5093537209280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 53.

The spelling of 5093537209280 in words is "five trillion, ninety-three billion, five hundred thirty-seven million, two hundred nine thousand, two hundred eighty".