11961661152 has 192 divisors, whose sum is σ = 38007373824. Its totient is φ = 3219955200.

The previous prime is 11961661133. The next prime is 11961661157. The reversal of 11961661152 is 25116616911.

11961661152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11961661152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11961661157) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1029777 + ... + 1041327.

It is an arithmetic number, because the mean of its divisors is an integer number (197955072).

Almost surely, 2^11961661152 is an apocalyptic number.

11961661152 is a gapful number since it is divisible by the number (12) 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 11961661152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19003686912).

11961661152 is an abundant number, since it is smaller than the sum of its proper divisors (26045712672).

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

11961661152 is a wasteful number, since it uses less digits than its factorization.

11961661152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11661 (or 11653 counting only the distinct ones).

The product of its digits is 19440, while the sum is 39.

The spelling of 11961661152 in words is "eleven billion, nine hundred sixty-one million, six hundred sixty-one thousand, one hundred fifty-two".