56181565440 has 2304 divisors, whose sum is σ = 282338784000. Its totient is φ = 10404495360.

The previous prime is 56181565417. The next prime is 56181565477. The reversal of 56181565440 is 4456518165.

56181565440 is a `hidden beast` number, since 5 + 6 + 1 + 81 + 565 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 1937295346 + ... + 1937295374.

It is an arithmetic number, because the mean of its divisors is an integer number (122542875).

Almost surely, 2^56181565440 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 56181565440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141169392000).

56181565440 is an abundant number, since it is smaller than the sum of its proper divisors (226157218560).

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

56181565440 is a wasteful number, since it uses less digits than its factorization.

56181565440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 56181565440 in words is "fifty-six billion, one hundred eighty-one million, five hundred sixty-five thousand, four hundred forty".