56315336000 has 336 divisors, whose sum is σ = 175216694016. Its totient is φ = 17550720000.

The previous prime is 56315335963. The next prime is 56315336023. The reversal of 56315336000 is 63351365.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6771845 + ... + 6780155.

It is an arithmetic number, because the mean of its divisors is an integer number (521478256).

Almost surely, 2^56315336000 is an apocalyptic number.

56315336000 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 56315336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87608347008).

56315336000 is an abundant number, since it is smaller than the sum of its proper divisors (118901358016).

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

56315336000 is a wasteful number, since it uses less digits than its factorization.

56315336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8367 (or 8336 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 32.

Adding to 56315336000 its reverse (63351365), we get a palindrome (56378687365).

The spelling of 56315336000 in words is "fifty-six billion, three hundred fifteen million, three hundred thirty-six thousand".