5828569213968 has 120 divisors (see below), whose sum is σ = 16360188000000. Its totient is φ = 1937109157632.

The previous prime is 5828569213937. The next prime is 5828569213997. The reversal of 5828569213968 is 8693129658285.

5828569213968 is a `hidden beast` number, since 5 + 8 + 2 + 8 + 569 + 21 + 39 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 5828569213896 and 5828569213905.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137124783 + ... + 137167281.

It is an arithmetic number, because the mean of its divisors is an integer number (136334900000).

Almost surely, 2^{5828569213968} 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 5828569213968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8180094000000).

5828569213968 is an abundant number, since it is smaller than the sum of its proper divisors (10531618786032).

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

5828569213968 is a wasteful number, since it uses less digits than its factorization.

5828569213968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45309 (or 45300 counting only the distinct ones).

The product of its digits is 447897600, while the sum is 72.

The spelling of 5828569213968 in words is "five trillion, eight hundred twenty-eight billion, five hundred sixty-nine million, two hundred thirteen thousand, nine hundred sixty-eight".