58427744256 has 504 divisors, whose sum is σ = 203948690400. Its totient is φ = 16665772032.

The previous prime is 58427744237. The next prime is 58427744269. The reversal of 58427744256 is 65244772485.

58427744256 is a `hidden beast` number, since 5 + 84 + 2 + 77 + 442 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 97541845 + ... + 97542443.

It is an arithmetic number, because the mean of its divisors is an integer number (404660100).

Almost surely, 2^58427744256 is an apocalyptic number.

58427744256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58427744256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101974345200).

58427744256 is an abundant number, since it is smaller than the sum of its proper divisors (145520946144).

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

58427744256 is an frugal number, since it uses more digits than its factorization.

58427744256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 611 counting only the distinct ones).

The product of its digits is 15052800, while the sum is 54.

The spelling of 58427744256 in words is "fifty-eight billion, four hundred twenty-seven million, seven hundred forty-four thousand, two hundred fifty-six".