56543013123564 has 192 divisors, whose sum is σ = 145771044249600. Its totient is φ = 16916409619200.

The previous prime is 56543013123563. The next prime is 56543013123577. The reversal of 56543013123564 is 46532131034565.

It is a super-2 number, since 2×56543013123564² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56543013123563) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2719842082 + ... + 2719862870.

It is an arithmetic number, because the mean of its divisors is an integer number (759224188800).

Almost surely, 2^{56543013123564} 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 56543013123564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72885522124800).

56543013123564 is an abundant number, since it is smaller than the sum of its proper divisors (89228031126036).

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

56543013123564 is a wasteful number, since it uses less digits than its factorization.

56543013123564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21764 (or 21762 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 48.

The spelling of 56543013123564 in words is "fifty-six trillion, five hundred forty-three billion, thirteen million, one hundred twenty-three thousand, five hundred sixty-four".