56588226240 has 1344 divisors, whose sum is σ = 240681345408. Its totient is φ = 11147673600.

The previous prime is 56588226239. The next prime is 56588226257. The reversal of 56588226240 is 4262288565.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 56588226240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 927675810 + ... + 927675870.

It is an arithmetic number, because the mean of its divisors is an integer number (179078382).

Almost surely, 2^56588226240 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 56588226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120340672704).

56588226240 is an abundant number, since it is smaller than the sum of its proper divisors (184093119168).

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

56588226240 is a wasteful number, since it uses less digits than its factorization.

56588226240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 48.

The spelling of 56588226240 in words is "fifty-six billion, five hundred eighty-eight million, two hundred twenty-six thousand, two hundred forty".