56119335968656 has 135 divisors (see below), whose sum is σ = 114887377346833. Its totient is φ = 26553904917760.

The previous prime is 56119335968629. The next prime is 56119335968713. The reversal of 56119335968656 is 65686953391165.

The square root of 56119335968656 is 7491284.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 147391495056 + 55971944473600 = 383916^2 + 7481440^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 73744199316 + ... + 73744200076.

Almost surely, 2^{56119335968656} is an apocalyptic number.

56119335968656 is the 7491284-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56119335968656

56119335968656 is an abundant number, since it is smaller than the sum of its proper divisors (58768041378177).

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

56119335968656 is an frugal number, since it uses more digits than its factorization.

56119335968656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 893 counting only the distinct ones).

The product of its digits is 944784000, while the sum is 73.

The spelling of 56119335968656 in words is "fifty-six trillion, one hundred nineteen billion, three hundred thirty-five million, nine hundred sixty-eight thousand, six hundred fifty-six".