10949218640000 has 320 divisors, whose sum is σ = 27532206873600. Its totient is φ = 4335690240000.

The previous prime is 10949218639939. The next prime is 10949218640023. The reversal of 10949218640000 is 4681294901.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6289039130 + ... + 6289040870.

It is an arithmetic number, because the mean of its divisors is an integer number (86038146480).

Almost surely, 2^{10949218640000} is an apocalyptic number.

10949218640000 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 10949218640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13766103436800).

10949218640000 is an abundant number, since it is smaller than the sum of its proper divisors (16582988233600).

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

10949218640000 is an equidigital number, since it uses as much as digits as its factorization.

10949218640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2521 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 44.

The spelling of 10949218640000 in words is "ten trillion, nine hundred forty-nine billion, two hundred eighteen million, six hundred forty thousand".