5831005224960 has 960 divisors, whose sum is σ = 22082336640000. Its totient is φ = 1455610134528.

The previous prime is 5831005224937. The next prime is 5831005225009. The reversal of 5831005224960 is 694225001385.

5831005224960 is a `hidden beast` number, since 5 + 8 + 3 + 100 + 52 + 2 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3740220661 + ... + 3740222219.

It is an arithmetic number, because the mean of its divisors is an integer number (23002434000).

Almost surely, 2^{5831005224960} 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 5831005224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11041168320000).

5831005224960 is an abundant number, since it is smaller than the sum of its proper divisors (16251331415040).

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

5831005224960 is a wasteful number, since it uses less digits than its factorization.

5831005224960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 5831005224960 in words is "five trillion, eight hundred thirty-one billion, five million, two hundred twenty-four thousand, nine hundred sixty".