11196630466560 has 1280 divisors, whose sum is σ = 50050964810880. Its totient is φ = 2326360227840.

The previous prime is 11196630466559. The next prime is 11196630466579. The reversal of 11196630466560 is 6566403669111.

11196630466560 is a `hidden beast` number, since 1 + 1 + 1 + 9 + 6 + 6 + 30 + 46 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 = 11196630466497 and 11196630466506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1021864602 + ... + 1021875558.

Almost surely, 2^{11196630466560} is an apocalyptic number.

11196630466560 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 11196630466560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25025482405440).

11196630466560 is an abundant number, since it is smaller than the sum of its proper divisors (38854334344320).

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

11196630466560 is an equidigital number, since it uses as much as digits as its factorization.

11196630466560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11022 (or 10985 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 11196630466560 in words is "eleven trillion, one hundred ninety-six billion, six hundred thirty million, four hundred sixty-six thousand, five hundred sixty".