56417255109216 has 768 divisors, whose sum is σ = 183476006461440. Its totient is φ = 16996370227200.

The previous prime is 56417255109211. The next prime is 56417255109227. The reversal of 56417255109216 is 61290155271465.

56417255109216 is a `hidden beast` number, since 5 + 6 + 4 + 1 + 7 + 25 + 510 + 92 + 16 = 666.

56417255109216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56417255109211) 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 127 ways as a sum of consecutive naturals, for example, 4831479570 + ... + 4831491246.

It is an arithmetic number, because the mean of its divisors is an integer number (238901050080).

Almost surely, 2^{56417255109216} 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 56417255109216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91738003230720).

56417255109216 is an abundant number, since it is smaller than the sum of its proper divisors (127058751352224).

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

56417255109216 is a wasteful number, since it uses less digits than its factorization.

56417255109216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11887 (or 11861 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 56417255109216 in words is "fifty-six trillion, four hundred seventeen billion, two hundred fifty-five million, one hundred nine thousand, two hundred sixteen".