5564037056256 has 288 divisors, whose sum is σ = 18813156526080. Its totient is φ = 1588983312384.

The previous prime is 5564037056219. The next prime is 5564037056269. The reversal of 5564037056256 is 6526507304655.

5564037056256 is a `hidden beast` number, since 5 + 5 + 6 + 4 + 0 + 3 + 7 + 0 + 5 + 625 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108209305 + ... + 108260711.

It is an arithmetic number, because the mean of its divisors is an integer number (65323460160).

Almost surely, 2^{5564037056256} is an apocalyptic number.

5564037056256 is a gapful number since it is divisible by the number (56) 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 5564037056256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9406578263040).

5564037056256 is an abundant number, since it is smaller than the sum of its proper divisors (13249119469824).

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

5564037056256 is a wasteful number, since it uses less digits than its factorization.

5564037056256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53676 (or 53656 counting only the distinct ones).

The product of its (nonzero) digits is 22680000, while the sum is 54.

The spelling of 5564037056256 in words is "five trillion, five hundred sixty-four billion, thirty-seven million, fifty-six thousand, two hundred fifty-six".