54213730560 has 1296 divisors, whose sum is σ = 229008124800. Its totient is φ = 11775836160.

The previous prime is 54213730531. The next prime is 54213730561. The reversal of 54213730560 is 6503731245.

54213730560 is a `hidden beast` number, since 5 + 4 + 21 + 3 + 73 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54213730561) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 609142996 + ... + 609143084.

It is an arithmetic number, because the mean of its divisors is an integer number (176703800).

Almost surely, 2^54213730560 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 54213730560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114504062400).

54213730560 is an abundant number, since it is smaller than the sum of its proper divisors (174794394240).

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

54213730560 is a wasteful number, since it uses less digits than its factorization.

54213730560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 54213730560 in words is "fifty-four billion, two hundred thirteen million, seven hundred thirty thousand, five hundred sixty".