56830219522560 has 640 divisors, whose sum is σ = 223504123392000. Its totient is φ = 13571383541760.

The previous prime is 56830219522541. The next prime is 56830219522577. The reversal of 56830219522560 is 6522591203865.

56830219522560 is a `hidden beast` number, since 5 + 6 + 8 + 3 + 0 + 21 + 9 + 52 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 56830219522497 and 56830219522506.

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, 50383641 + ... + 51499239.

It is an arithmetic number, because the mean of its divisors is an integer number (349225192800).

Almost surely, 2^{56830219522560} 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 56830219522560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111752061696000).

56830219522560 is an abundant number, since it is smaller than the sum of its proper divisors (166673903869440).

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

56830219522560 is a wasteful number, since it uses less digits than its factorization.

56830219522560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115709 (or 1115687 counting only the distinct ones).

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

The spelling of 56830219522560 in words is "fifty-six trillion, eight hundred thirty billion, two hundred nineteen million, five hundred twenty-two thousand, five hundred sixty".