5383846258560 has 2688 divisors, whose sum is σ = 24890096793600. Its totient is φ = 1100484403200.

The previous prime is 5383846258547. The next prime is 5383846258613. The reversal of 5383846258560 is 658526483835.

5383846258560 is a `hidden beast` number, since 5 + 3 + 8 + 3 + 8 + 4 + 62 + 5 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-4 number, since 4×5383846258560⁴ (a number of 52 digits) contains 4444 as substring.

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 polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 19866591225 + ... + 19866591495.

Almost surely, 2^{5383846258560} 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 5383846258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12445048396800).

5383846258560 is an abundant number, since it is smaller than the sum of its proper divisors (19506250535040).

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

5383846258560 is a wasteful number, since it uses less digits than its factorization.

5383846258560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 165888000, while the sum is 63.

The spelling of 5383846258560 in words is "five trillion, three hundred eighty-three billion, eight hundred forty-six million, two hundred fifty-eight thousand, five hundred sixty".