5882668146432 has 1080 divisors, whose sum is σ = 22472491789440. Its totient is φ = 1513377976320.

The previous prime is 5882668146419. The next prime is 5882668146451. The reversal of 5882668146432 is 2346418662885.

5882668146432 is a `hidden beast` number, since 5 + 8 + 8 + 2 + 66 + 81 + 464 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 5882668146432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1195904869 + ... + 1195909787.

It is an arithmetic number, because the mean of its divisors is an integer number (20807862768).

Almost surely, 2^{5882668146432} 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 5882668146432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11236245894720).

5882668146432 is an abundant number, since it is smaller than the sum of its proper divisors (16589823643008).

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

5882668146432 is a wasteful number, since it uses less digits than its factorization.

5882668146432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5079 (or 5049 counting only the distinct ones).

The product of its digits is 106168320, while the sum is 63.

The spelling of 5882668146432 in words is "five trillion, eight hundred eighty-two billion, six hundred sixty-eight million, one hundred forty-six thousand, four hundred thirty-two".