56546101624320 has 3840 divisors, whose sum is σ = 260276121262080. Its totient is φ = 11386552320000.

The previous prime is 56546101624223. The next prime is 56546101624321. The reversal of 56546101624320 is 2342610164565.

56546101624320 is a `hidden beast` number, since 5 + 6 + 5 + 4 + 6 + 10 + 1 + 624 + 3 + 2 + 0 = 666.

56546101624320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56546101624321) 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 383 ways as a sum of consecutive naturals, for example, 431649630655 + ... + 431649630785.

It is an arithmetic number, because the mean of its divisors is an integer number (67780239912).

Almost surely, 2^{56546101624320} 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 56546101624320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130138060631040).

56546101624320 is an abundant number, since it is smaller than the sum of its proper divisors (203730019637760).

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

56546101624320 is a wasteful number, since it uses less digits than its factorization.

56546101624320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

Adding to 56546101624320 its reverse (2342610164565), we get a palindrome (58888711788885).

The spelling of 56546101624320 in words is "fifty-six trillion, five hundred forty-six billion, one hundred one million, six hundred twenty-four thousand, three hundred twenty".