5838307937280 has 2112 divisors, whose sum is σ = 26460513730560. Its totient is φ = 1155790798848.

The previous prime is 5838307937269. The next prime is 5838307937309. The reversal of 5838307937280 is 827397038385.

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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10118384352 + ... + 10118384928.

Almost surely, 2^{5838307937280} 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 5838307937280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13230256865280).

5838307937280 is an abundant number, since it is smaller than the sum of its proper divisors (20622205793280).

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

5838307937280 is a wasteful number, since it uses less digits than its factorization.

5838307937280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 5838307937280 in words is "five trillion, eight hundred thirty-eight billion, three hundred seven million, nine hundred thirty-seven thousand, two hundred eighty".