56241470026368 has 960 divisors, whose sum is σ = 192290728429800. Its totient is φ = 16284521594880.

The previous prime is 56241470026361. The next prime is 56241470026393. The reversal of 56241470026368 is 86362007414265.

56241470026368 is a `hidden beast` number, since 5 + 624 + 1 + 4 + 7 + 0 + 0 + 2 + 6 + 3 + 6 + 8 = 666.

56241470026368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 51249677396544 + 4991792629824 = 7158888^2 + 2234232^2 .

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

It is not an unprimeable number, because it can be changed into a prime (56241470026361) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 3528979296 + ... + 3528995232.

Almost surely, 2^{56241470026368} is an apocalyptic number.

56241470026368 is a gapful number since it is divisible by the number (58) 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 56241470026368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96145364214900).

56241470026368 is an abundant number, since it is smaller than the sum of its proper divisors (136049258403432).

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

56241470026368 is a wasteful number, since it uses less digits than its factorization.

56241470026368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16111 (or 16079 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 56241470026368 in words is "fifty-six trillion, two hundred forty-one billion, four hundred seventy million, twenty-six thousand, three hundred sixty-eight".