54587934720 has 960 divisors, whose sum is σ = 221474373120. Its totient is φ = 12740198400.

The previous prime is 54587934703. The next prime is 54587934727. The reversal of 54587934720 is 2743978545.

It is a happy number.

54587934720 is a `hidden beast` number, since 5 + 4 + 5 + 87 + 93 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 (54587934727) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 282838944 + ... + 282839136.

It is an arithmetic number, because the mean of its divisors is an integer number (230702472).

Almost surely, 2^54587934720 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 54587934720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110737186560).

54587934720 is an abundant number, since it is smaller than the sum of its proper divisors (166886438400).

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

54587934720 is a wasteful number, since it uses less digits than its factorization.

54587934720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 54587934720 in words is "fifty-four billion, five hundred eighty-seven million, nine hundred thirty-four thousand, seven hundred twenty".