11311155344000 has 128 divisors (see below), whose sum is σ = 28130618580480. Its totient is φ = 4523133465600.

The previous prime is 11311155343933. The next prime is 11311155344033. The reversal of 11311155344000 is 44355111311.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55305929 + ... + 55510071.

It is an arithmetic number, because the mean of its divisors is an integer number (219770457660).

Almost surely, 2^{11311155344000} is an apocalyptic number.

11311155344000 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 11311155344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14065309290240).

11311155344000 is an abundant number, since it is smaller than the sum of its proper divisors (16819463236480).

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

11311155344000 is an equidigital number, since it uses as much as digits as its factorization.

11311155344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207635 (or 207613 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The spelling of 11311155344000 in words is "eleven trillion, three hundred eleven billion, one hundred fifty-five million, three hundred forty-four thousand".