11131742286720 has 1792 divisors, whose sum is σ = 44838777312000. Its totient is φ = 2618588528640.

The previous prime is 11131742286667. The next prime is 11131742286751. The reversal of 11131742286720 is 2768224713111.

It is a happy number.

11131742286720 is a `hidden beast` number, since 1 + 11 + 317 + 42 + 286 + 7 + 2 + 0 = 666.

It is a super-3 number, since 3×11131742286720³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 29371351491 + ... + 29371351869.

It is an arithmetic number, because the mean of its divisors is an integer number (25021639125).

Almost surely, 2^{11131742286720} is an apocalyptic number.

11131742286720 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 11131742286720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22419388656000).

11131742286720 is an abundant number, since it is smaller than the sum of its proper divisors (33707035025280).

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

11131742286720 is an equidigital number, since it uses as much as digits as its factorization.

11131742286720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

Adding to 11131742286720 its reverse (2768224713111), we get a palindrome (13899966999831).

The spelling of 11131742286720 in words is "eleven trillion, one hundred thirty-one billion, seven hundred forty-two million, two hundred eighty-six thousand, seven hundred twenty".