55936846479360 has 3840 divisors, whose sum is σ = 250474848583680. Its totient is φ = 10305404928000.

The previous prime is 55936846479259. The next prime is 55936846479433. The reversal of 55936846479360 is 6397464863955.

55936846479360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 708061347801 + ... + 708061347879.

It is an arithmetic number, because the mean of its divisors is an integer number (65227825152).

Almost surely, 2^{55936846479360} 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 55936846479360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125237424291840).

55936846479360 is an abundant number, since it is smaller than the sum of its proper divisors (194538002104320).

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

55936846479360 is a wasteful number, since it uses less digits than its factorization.

55936846479360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 3527193600, while the sum is 75.

The spelling of 55936846479360 in words is "fifty-five trillion, nine hundred thirty-six billion, eight hundred forty-six million, four hundred seventy-nine thousand, three hundred sixty".