56319192304128 has 640 divisors, whose sum is σ = 184906140249600. Its totient is φ = 16812953174016.

The previous prime is 56319192304073. The next prime is 56319192304147. The reversal of 56319192304128 is 82140329191365.

56319192304128 is a `hidden beast` number, since 5 + 6 + 3 + 1 + 9 + 192 + 30 + 412 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2387102700 + ... + 2387126292.

It is an arithmetic number, because the mean of its divisors is an integer number (288915844140).

Almost surely, 2^{56319192304128} 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 56319192304128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92453070124800).

56319192304128 is an abundant number, since it is smaller than the sum of its proper divisors (128586947945472).

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

56319192304128 is a wasteful number, since it uses less digits than its factorization.

56319192304128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24029 (or 24007 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 56319192304128 in words is "fifty-six trillion, three hundred nineteen billion, one hundred ninety-two million, three hundred four thousand, one hundred twenty-eight".