11131421760 has 196 divisors, whose sum is σ = 39742699788. Its totient is φ = 2968316928.

The previous prime is 11131421759. The next prime is 11131421761. The reversal of 11131421760 is 6712413111.

It is an interprime number because it is at equal distance from previous prime (11131421759) and next prime (11131421761).

It can be written as a sum of positive squares in 2 ways, for example, as 3554067456 + 7577354304 = 59616^2 + 87048^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11131421761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 209422 + ... + 257138.

Almost surely, 2^11131421760 is an apocalyptic number.

11131421760 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 11131421760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19871349894).

11131421760 is an abundant number, since it is smaller than the sum of its proper divisors (28611278028).

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

11131421760 is an frugal number, since it uses more digits than its factorization.

11131421760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47752 (or 47727 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 11131421760 its reverse (6712413111), we get a palindrome (17843834871).

The spelling of 11131421760 in words is "eleven billion, one hundred thirty-one million, four hundred twenty-one thousand, seven hundred sixty".