56441526768 has 240 divisors, whose sum is σ = 182417788800. Its totient is φ = 16111249920.

The previous prime is 56441526707. The next prime is 56441526881. The reversal of 56441526768 is 86762514465.

56441526768 is a `hidden beast` number, since 5 + 6 + 4 + 41 + 526 + 76 + 8 = 666.

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, 5381946 + ... + 5392422.

It is an arithmetic number, because the mean of its divisors is an integer number (760074120).

Almost surely, 2^56441526768 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 56441526768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91208894400).

56441526768 is an abundant number, since it is smaller than the sum of its proper divisors (125976262032).

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

56441526768 is a wasteful number, since it uses less digits than its factorization.

56441526768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10700 (or 10691 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 56441526768 in words is "fifty-six billion, four hundred forty-one million, five hundred twenty-six thousand, seven hundred sixty-eight".