11054142241000 has 128 divisors (see below), whose sum is σ = 26120600906400. Its totient is φ = 4378305484800.

The previous prime is 11054142240979. The next prime is 11054142241013. The reversal of 11054142241000 is 14224145011.

11054142241000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 419538607524 + 10634603633476 = 647718^2 + 3261074^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175785564 + ... + 175848436.

Almost surely, 2^{11054142241000} is an apocalyptic number.

11054142241000 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 11054142241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13060300453200).

11054142241000 is an abundant number, since it is smaller than the sum of its proper divisors (15066458665400).

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

11054142241000 is a wasteful number, since it uses less digits than its factorization.

11054142241000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64616 (or 64602 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 11054142241000 its reverse (14224145011), we get a palindrome (11068366386011).

The spelling of 11054142241000 in words is "eleven trillion, fifty-four billion, one hundred forty-two million, two hundred forty-one thousand".