56388068352 has 792 divisors, whose sum is σ = 212726205120. Its totient is φ = 14511882240.

The previous prime is 56388068291. The next prime is 56388068353. The reversal of 56388068352 is 25386088365.

It is a tau number, because it is divible by the number of its divisors (792).

It is a super-3 number, since 3×56388068352³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (56388068353) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 517321674 + ... + 517321782.

Almost surely, 2^56388068352 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 56388068352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106363102560).

56388068352 is an abundant number, since it is smaller than the sum of its proper divisors (156338136768).

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

56388068352 is an equidigital number, since it uses as much as digits as its factorization.

56388068352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 56388068352 in words is "fifty-six billion, three hundred eighty-eight million, sixty-eight thousand, three hundred fifty-two".