10964468988000 has 3072 divisors, whose sum is σ = 48388706795520. Its totient is φ = 2380492800000.

The previous prime is 10964468987987. The next prime is 10964468988007. The reversal of 10964468988000 is 88986446901.

10964468988000 is a `hidden beast` number, since 1 + 0 + 9 + 6 + 4 + 468 + 98 + 80 + 0 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10964468988007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 51964307895 + ... + 51964308105.

It is an arithmetic number, because the mean of its divisors is an integer number (15751532160).

Almost surely, 2^{10964468988000} is an apocalyptic number.

10964468988000 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 10964468988000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24194353397760).

10964468988000 is an abundant number, since it is smaller than the sum of its proper divisors (37424237807520).

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

10964468988000 is a wasteful number, since it uses less digits than its factorization.

10964468988000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 10964468988000 in words is "ten trillion, nine hundred sixty-four billion, four hundred sixty-eight million, nine hundred eighty-eight thousand".