11964290688 has 192 divisors, whose sum is σ = 40307641920. Its totient is φ = 3334901760.

The previous prime is 11964290687. The next prime is 11964290699. The reversal of 11964290688 is 88609246911.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (11964290687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312531 + ... + 348717.

It is an arithmetic number, because the mean of its divisors is an integer number (209935635).

Almost surely, 2^11964290688 is an apocalyptic number.

11964290688 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 11964290688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20153820960).

11964290688 is an abundant number, since it is smaller than the sum of its proper divisors (28343351232).

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

11964290688 is a wasteful number, since it uses less digits than its factorization.

11964290688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36255 (or 36240 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 11964290688 in words is "eleven billion, nine hundred sixty-four million, two hundred ninety thousand, six hundred eighty-eight".