56588378112 has 672 divisors, whose sum is σ = 201515618304. Its totient is φ = 15527116800.

The previous prime is 56588378083. The next prime is 56588378149. The reversal of 56588378112 is 21187388565.

56588378112 is a `hidden beast` number, since 56 + 588 + 3 + 7 + 8 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

Its product of digits (3225600) is a multiple of the sum of its prime factors (210).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 431972287 + ... + 431972417.

It is an arithmetic number, because the mean of its divisors is an integer number (299874432).

Almost surely, 2^56588378112 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 56588378112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100757809152).

56588378112 is an abundant number, since it is smaller than the sum of its proper divisors (144927240192).

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

56588378112 is an equidigital number, since it uses as much as digits as its factorization.

56588378112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 174 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 54.

The spelling of 56588378112 in words is "fifty-six billion, five hundred eighty-eight million, three hundred seventy-eight thousand, one hundred twelve".