10864689471200 has 144 divisors (see below), whose sum is σ = 26595840257280. Its totient is φ = 4334019755520.

The previous prime is 10864689471193. The next prime is 10864689471211. The reversal of 10864689471200 is 217498646801.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 913991657 + ... + 914003543.

It is an arithmetic number, because the mean of its divisors is an integer number (184693335120).

Almost surely, 2^{10864689471200} is an apocalyptic number.

10864689471200 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 10864689471200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13297920128640).

10864689471200 is an abundant number, since it is smaller than the sum of its proper divisors (15731150786080).

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

10864689471200 is a wasteful number, since it uses less digits than its factorization.

10864689471200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14929 (or 14916 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 56.

The spelling of 10864689471200 in words is "ten trillion, eight hundred sixty-four billion, six hundred eighty-nine million, four hundred seventy-one thousand, two hundred".