56355219648 has 672 divisors, whose sum is σ = 212486077440. Its totient is φ = 13864919040.

The previous prime is 56355219647. The next prime is 56355219659. The reversal of 56355219648 is 84691255365.

56355219648 is a `hidden beast` number, since 56 + 3 + 5 + 521 + 9 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 56355219594 and 56355219603.

It is not an unprimeable number, because it can be changed into a prime (56355219647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70708786 + ... + 70709582.

It is an arithmetic number, because the mean of its divisors is an integer number (316199520).

Almost surely, 2^56355219648 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 56355219648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106243038720).

56355219648 is an abundant number, since it is smaller than the sum of its proper divisors (156130857792).

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

56355219648 is a wasteful number, since it uses less digits than its factorization.

56355219648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 912 counting only the distinct ones).

The product of its digits is 7776000, while the sum is 54.

The spelling of 56355219648 in words is "fifty-six billion, three hundred fifty-five million, two hundred nineteen thousand, six hundred forty-eight".