11305961856 has 448 divisors, whose sum is σ = 40670092800. Its totient is φ = 3056901120.

The previous prime is 11305961851. The next prime is 11305961861. The reversal of 11305961856 is 65816950311.

11305961856 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 596 + 1 + 8 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (11305961851) and next prime (11305961861).

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11305961851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 12410041 + ... + 12410951.

Almost surely, 2^11305961856 is an apocalyptic number.

11305961856 is a gapful number since it is divisible by the number (16) 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 11305961856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20335046400).

11305961856 is an abundant number, since it is smaller than the sum of its proper divisors (29364130944).

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

11305961856 is an frugal number, since it uses more digits than its factorization.

11305961856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 11305961856 in words is "eleven billion, three hundred five million, nine hundred sixty-one thousand, eight hundred fifty-six".