56829567344000 has 256 divisors, whose sum is σ = 154175899737600. Its totient is φ = 20660120320000.

The previous prime is 56829567343999. The next prime is 56829567344003. The reversal of 56829567344000 is 44376592865.

56829567344000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56829567344003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 741097661 + ... + 741174339.

It is an arithmetic number, because the mean of its divisors is an integer number (602249608350).

Almost surely, 2^{56829567344000} is an apocalyptic number.

56829567344000 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 56829567344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77087949868800).

56829567344000 is an abundant number, since it is smaller than the sum of its proper divisors (97346332393600).

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

56829567344000 is a wasteful number, since it uses less digits than its factorization.

56829567344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80930 (or 80908 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 59.

The spelling of 56829567344000 in words is "fifty-six trillion, eight hundred twenty-nine billion, five hundred sixty-seven million, three hundred forty-four thousand".