11131153440 has 192 divisors, whose sum is σ = 38631261312. Its totient is φ = 2671616000.

The previous prime is 11131153421. The next prime is 11131153441. The reversal of 11131153440 is 4435113111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11131153440.

It is not an unprimeable number, because it can be changed into a prime (11131153441) 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, 522844 + ... + 543716.

It is an arithmetic number, because the mean of its divisors is an integer number (201204486).

Almost surely, 2^11131153440 is an apocalyptic number.

11131153440 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 11131153440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19315630656).

11131153440 is an abundant number, since it is smaller than the sum of its proper divisors (27500107872).

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

11131153440 is a wasteful number, since it uses less digits than its factorization.

11131153440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21003 (or 20995 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 11131153440 its reverse (4435113111), we get a palindrome (15566266551).

The spelling of 11131153440 in words is "eleven billion, one hundred thirty-one million, one hundred fifty-three thousand, four hundred forty".