56909348610240 has 336 divisors, whose sum is σ = 216967365448704. Its totient is φ = 12588242688000.

The previous prime is 56909348610227. The next prime is 56909348610251. The reversal of 56909348610240 is 4201684390965.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18054786 + ... + 20971265.

Almost surely, 2^{56909348610240} is an apocalyptic number.

It is an amenable number.

56909348610240 is an abundant number, since it is smaller than the sum of its proper divisors (160058016838464).

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

56909348610240 is a wasteful number, since it uses less digits than its factorization.

56909348610240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39026116 (or 39026099 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 57.

The spelling of 56909348610240 in words is "fifty-six trillion, nine hundred nine billion, three hundred forty-eight million, six hundred ten thousand, two hundred forty".