54238510656 has 448 divisors, whose sum is σ = 181885132800. Its totient is φ = 15699916800.

The previous prime is 54238510643. The next prime is 54238510699. The reversal of 54238510656 is 65601583245.

54238510656 is a `hidden beast` number, since 5 + 42 + 38 + 510 + 65 + 6 = 666.

54238510656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48907030 + ... + 48908138.

It is an arithmetic number, because the mean of its divisors is an integer number (405993600).

Almost surely, 2^54238510656 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 54238510656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90942566400).

54238510656 is an abundant number, since it is smaller than the sum of its proper divisors (127646622144).

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

54238510656 is a wasteful number, since it uses less digits than its factorization.

54238510656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 54238510656 in words is "fifty-four billion, two hundred thirty-eight million, five hundred ten thousand, six hundred fifty-six".