56339388900 has 216 divisors, whose sum is σ = 187221532680. Its totient is φ = 14121861120.

The previous prime is 56339388899. The next prime is 56339388907. The reversal of 56339388900 is 988393365.

It can be written as a sum of positive squares in 12 ways, for example, as 181764324 + 56157624576 = 13482^2 + 236976^2 .

It is not an unprimeable number, because it can be changed into a prime (56339388907) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 14946216 + ... + 14949984.

It is an arithmetic number, because the mean of its divisors is an integer number (866766355).

Almost surely, 2^56339388900 is an apocalyptic number.

56339388900 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 56339388900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93610766340).

56339388900 is an abundant number, since it is smaller than the sum of its proper divisors (130882143780).

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

56339388900 is a wasteful number, since it uses less digits than its factorization.

56339388900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4783 (or 4773 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 56339388900 in words is "fifty-six billion, three hundred thirty-nine million, three hundred eighty-eight thousand, nine hundred".