56145320126217 has 32 divisors (see below), whose sum is σ = 96128959046400. Its totient is φ = 31722556466304.

The previous prime is 56145320126191. The next prime is 56145320126221. The reversal of 56145320126217 is 71262102354165.

56145320126217 is a `hidden beast` number, since 5 + 6 + 1 + 4 + 5 + 3 + 2 + 0 + 12 + 621 + 7 = 666.

It is not a de Polignac number, because 56145320126217 - 2³⁶ = 56076600649481 is a prime.

It is not an unprimeable number, because it can be changed into a prime (56145320126267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1668888718 + ... + 1668922359.

It is an arithmetic number, because the mean of its divisors is an integer number (3004029970200).

Almost surely, 2^{56145320126217} is an apocalyptic number.

It is an amenable number.

56145320126217 is a deficient number, since it is larger than the sum of its proper divisors (39983638920183).

56145320126217 is a wasteful number, since it uses less digits than its factorization.

56145320126217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3337811182 (or 3337811176 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 56145320126217 in words is "fifty-six trillion, one hundred forty-five billion, three hundred twenty million, one hundred twenty-six thousand, two hundred seventeen".