56041808584320 has 1024 divisors, whose sum is σ = 223920910080000. Its totient is φ = 13150501797888.

The previous prime is 56041808584309. The next prime is 56041808584339. The reversal of 56041808584320 is 2348580814065.

56041808584320 is a `hidden beast` number, since 5 + 60 + 4 + 180 + 8 + 5 + 84 + 320 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 514595794 + ... + 514704686.

It is an arithmetic number, because the mean of its divisors is an integer number (218672763750).

Almost surely, 2^{56041808584320} 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 56041808584320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111960455040000).

56041808584320 is an abundant number, since it is smaller than the sum of its proper divisors (167879101495680).

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

56041808584320 is a wasteful number, since it uses less digits than its factorization.

56041808584320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109042 (or 109024 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 56041808584320 in words is "fifty-six trillion, forty-one billion, eight hundred eight million, five hundred eighty-four thousand, three hundred twenty".