5828679324000 has 1920 divisors, whose sum is σ = 24449515009920. Its totient is φ = 1348171776000.

The previous prime is 5828679323959. The next prime is 5828679324001. The reversal of 5828679324000 is 4239768285.

5828679324000 is a `hidden beast` number, since 58 + 286 + 79 + 3 + 240 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5828679324001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 13844843790 + ... + 13844844210.

It is an arithmetic number, because the mean of its divisors is an integer number (12734122401).

Almost surely, 2^{5828679324000} is an apocalyptic number.

5828679324000 is a gapful number since it is divisible by the number (50) 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 5828679324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12224757504960).

5828679324000 is an abundant number, since it is smaller than the sum of its proper divisors (18620835685920).

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

5828679324000 is a wasteful number, since it uses less digits than its factorization.

5828679324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 5828679324000 in words is "five trillion, eight hundred twenty-eight billion, six hundred seventy-nine million, three hundred twenty-four thousand".