5824493490816 has 768 divisors, whose sum is σ = 22564794470400. Its totient is φ = 1392692797440.

The previous prime is 5824493490773. The next prime is 5824493490877. The reversal of 5824493490816 is 6180943944285.

5824493490816 is a `hidden beast` number, since 5 + 8 + 2 + 44 + 93 + 490 + 8 + 16 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 437037945 + ... + 437051271.

It is an arithmetic number, because the mean of its divisors is an integer number (29381242800).

Almost surely, 2^{5824493490816} is an apocalyptic number.

5824493490816 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5824493490816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11282397235200).

5824493490816 is an abundant number, since it is smaller than the sum of its proper divisors (16740300979584).

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

5824493490816 is a wasteful number, since it uses less digits than its factorization.

5824493490816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13757 (or 13742 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 5824493490816 in words is "five trillion, eight hundred twenty-four billion, four hundred ninety-three million, four hundred ninety thousand, eight hundred sixteen".