11110093242072 has 128 divisors (see below), whose sum is σ = 31641870274560. Its totient is φ = 3217850683520.

The previous prime is 11110093242071. The next prime is 11110093242107. The reversal of 11110093242072 is 27024239001111.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11110093242071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7236133 + ... + 8636075.

It is an arithmetic number, because the mean of its divisors is an integer number (247202111520).

Almost surely, 2^{11110093242072} is an apocalyptic number.

11110093242072 is a gapful number since it is divisible by the number (12) 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 11110093242072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15820935137280).

11110093242072 is an abundant number, since it is smaller than the sum of its proper divisors (20531777032488).

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

11110093242072 is a wasteful number, since it uses less digits than its factorization.

11110093242072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401293 (or 1401289 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 11110093242072 in words is "eleven trillion, one hundred ten billion, ninety-three million, two hundred forty-two thousand, seventy-two".