11011442125020 has 96 divisors (see below), whose sum is σ = 31505101867008. Its totient is φ = 2872350953472.

The previous prime is 11011442125007. The next prime is 11011442125043. The reversal of 11011442125020 is 2052124411011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4151484 + ... + 6265596.

It is an arithmetic number, because the mean of its divisors is an integer number (328178144448).

Almost surely, 2^{11011442125020} is an apocalyptic number.

11011442125020 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 11011442125020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15752550933504).

11011442125020 is an abundant number, since it is smaller than the sum of its proper divisors (20493659741988).

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

11011442125020 is a wasteful number, since it uses less digits than its factorization.

11011442125020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116019 (or 2116017 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

Adding to 11011442125020 its reverse (2052124411011), we get a palindrome (13063566536031).

The spelling of 11011442125020 in words is "eleven trillion, eleven billion, four hundred forty-two million, one hundred twenty-five thousand, twenty".