1196563435560 has 256 divisors, whose sum is σ = 4020801120000. Its totient is φ = 316507226112.

The previous prime is 1196563435549. The next prime is 1196563435583. The reversal of 1196563435560 is 655343656911.

1196563435560 is a `hidden beast` number, since 1 + 1 + 9 + 6 + 56 + 34 + 3 + 556 + 0 = 666.

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 = 1196563435497 and 1196563435506.

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, 211516252 + ... + 211521908.

It is an arithmetic number, because the mean of its divisors is an integer number (15706254375).

Almost surely, 2^{1196563435560} is an apocalyptic number.

1196563435560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1196563435560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010400560000).

1196563435560 is an abundant number, since it is smaller than the sum of its proper divisors (2824237684440).

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

1196563435560 is a wasteful number, since it uses less digits than its factorization.

1196563435560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7225 (or 7215 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 54.

The spelling of 1196563435560 in words is "one trillion, one hundred ninety-six billion, five hundred sixty-three million, four hundred thirty-five thousand, five hundred sixty".