56440753810560 has 2560 divisors, whose sum is σ = 242046959616000. Its totient is φ = 12263436288000.

The previous prime is 56440753810543. The next prime is 56440753810561. The reversal of 56440753810560 is 6501835704465.

It is a happy number.

56440753810560 is a `hidden beast` number, since 5 + 6 + 4 + 4 + 0 + 75 + 3 + 8 + 1 + 0 + 560 = 666.

It is a super-3 number, since 3×56440753810560³ (a number of 42 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 56440753810497 and 56440753810506.

It is not an unprimeable number, because it can be changed into a prime (56440753810561) by changing a digit.

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 319 ways as a sum of consecutive naturals, for example, 253097550609 + ... + 253097550831.

It is an arithmetic number, because the mean of its divisors is an integer number (94549593600).

Almost surely, 2^{56440753810560} 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 56440753810560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121023479808000).

56440753810560 is an abundant number, since it is smaller than the sum of its proper divisors (185606205805440).

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

56440753810560 is a wasteful number, since it uses less digits than its factorization.

56440753810560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 56440753810560 in words is "fifty-six trillion, four hundred forty billion, seven hundred fifty-three million, eight hundred ten thousand, five hundred sixty".