10876889088000 has 960 divisors, whose sum is σ = 43315730115840. Its totient is φ = 2677211136000.

The previous prime is 10876889087983. The next prime is 10876889088011. The reversal of 10876889088000 is 88098867801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 718840435 + ... + 718855565.

It is an arithmetic number, because the mean of its divisors is an integer number (45120552204).

Almost surely, 2^{10876889088000} is an apocalyptic number.

10876889088000 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 10876889088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21657865057920).

10876889088000 is an abundant number, since it is smaller than the sum of its proper divisors (32438841027840).

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

10876889088000 is an equidigital number, since it uses as much as digits as its factorization.

10876889088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15196 (or 15154 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 63.

The spelling of 10876889088000 in words is "ten trillion, eight hundred seventy-six billion, eight hundred eighty-nine million, eighty-eight thousand".