11010054440000 has 560 divisors, whose sum is σ = 34376036846976. Its totient is φ = 3397632000000.

The previous prime is 11010054439973. The next prime is 11010054440041. The reversal of 11010054440000 is 4445001011.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 311062304 + ... + 311097696.

Almost surely, 2^{11010054440000} is an apocalyptic number.

11010054440000 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 11010054440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17188018423488).

11010054440000 is an abundant number, since it is smaller than the sum of its proper divisors (23365982406976).

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

11010054440000 is a wasteful number, since it uses less digits than its factorization.

11010054440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35544 (or 35519 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 11010054440000 its reverse (4445001011), we get a palindrome (11014499441011).

The spelling of 11010054440000 in words is "eleven trillion, ten billion, fifty-four million, four hundred forty thousand".