11961435725568 has 288 divisors, whose sum is σ = 40432386892800. Its totient is φ = 3416947421184.

The previous prime is 11961435725557. The next prime is 11961435725627. The reversal of 11961435725568 is 86552753416911.

11961435725568 is a `hidden beast` number, since 1 + 1 + 9 + 6 + 1 + 4 + 3 + 5 + 72 + 556 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321880173 + ... + 321917331.

Almost surely, 2^{11961435725568} is an apocalyptic number.

11961435725568 is a gapful number since it is divisible by the number (18) 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 11961435725568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20216193446400).

11961435725568 is an abundant number, since it is smaller than the sum of its proper divisors (28470951167232).

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

11961435725568 is an equidigital number, since it uses as much as digits as its factorization.

11961435725568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43844 (or 43824 counting only the distinct ones).

The product of its digits is 54432000, while the sum is 63.

The spelling of 11961435725568 in words is "eleven trillion, nine hundred sixty-one billion, four hundred thirty-five million, seven hundred twenty-five thousand, five hundred sixty-eight".