11151132444420 has 192 divisors, whose sum is σ = 32594249318400. Its totient is φ = 2845333163520.

The previous prime is 11151132444391. The next prime is 11151132444437. The reversal of 11151132444420 is 2444423115111.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97055047 + ... + 97169873.

It is an arithmetic number, because the mean of its divisors is an integer number (169761715200).

Almost surely, 2^{11151132444420} is an apocalyptic number.

11151132444420 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 11151132444420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16297124659200).

11151132444420 is an abundant number, since it is smaller than the sum of its proper divisors (21443116873980).

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

11151132444420 is a wasteful number, since it uses less digits than its factorization.

11151132444420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115458 (or 115456 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

Adding to 11151132444420 its reverse (2444423115111), we get a palindrome (13595555559531).

The spelling of 11151132444420 in words is "eleven trillion, one hundred fifty-one billion, one hundred thirty-two million, four hundred forty-four thousand, four hundred twenty".