10966505584888 has 64 divisors (see below), whose sum is σ = 23522281493760. Its totient is φ = 4695407437056.

The previous prime is 10966505584883. The next prime is 10966505584897. The reversal of 10966505584888 is 88848550566901.

It is a self number, because there is not a number n which added to its sum of digits gives 10966505584888.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10966505584883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343686231 + ... + 343718137.

It is an arithmetic number, because the mean of its divisors is an integer number (367535648340).

Almost surely, 2^{10966505584888} is an apocalyptic number.

It is an amenable number.

10966505584888 is an abundant number, since it is smaller than the sum of its proper divisors (12555775908872).

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

10966505584888 is a wasteful number, since it uses less digits than its factorization.

10966505584888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37636 (or 37632 counting only the distinct ones).

The product of its (nonzero) digits is 663552000, while the sum is 73.

The spelling of 10966505584888 in words is "ten trillion, nine hundred sixty-six billion, five hundred five million, five hundred eighty-four thousand, eight hundred eighty-eight".