5381185582080 has 3168 divisors, whose sum is σ = 25372025902080. Its totient is φ = 1040449536000.

The previous prime is 5381185582057. The next prime is 5381185582151. The reversal of 5381185582080 is 802855811835.

5381185582080 is a `hidden beast` number, since 5 + 3 + 8 + 1 + 1 + 8 + 558 + 2 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 22328570760 + ... + 22328571000.

It is an arithmetic number, because the mean of its divisors is an integer number (8008846560).

Almost surely, 2^{5381185582080} 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 5381185582080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12686012951040).

5381185582080 is an abundant number, since it is smaller than the sum of its proper divisors (19990840320000).

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

5381185582080 is a wasteful number, since it uses less digits than its factorization.

5381185582080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 54.

The spelling of 5381185582080 in words is "five trillion, three hundred eighty-one billion, one hundred eighty-five million, five hundred eighty-two thousand, eighty".