56516615712 has 144 divisors (see below), whose sum is σ = 163185684480. Its totient is φ = 18550425600.

The previous prime is 56516615707. The next prime is 56516615761. The reversal of 56516615712 is 21751661565.

It is a happy number.

56516615712 is a `hidden beast` number, since 5 + 6 + 5 + 16 + 61 + 571 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26151912 + ... + 26154072.

It is an arithmetic number, because the mean of its divisors is an integer number (1133233920).

Almost surely, 2^56516615712 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 56516615712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81592842240).

56516615712 is an abundant number, since it is smaller than the sum of its proper divisors (106669068768).

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

56516615712 is a wasteful number, since it uses less digits than its factorization.

56516615712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3527 (or 3516 counting only the distinct ones).

The product of its digits is 378000, while the sum is 45.

The spelling of 56516615712 in words is "fifty-six billion, five hundred sixteen million, six hundred fifteen thousand, seven hundred twelve".