11127991140 has 288 divisors, whose sum is σ = 40880327040. Its totient is φ = 2505178368.

The previous prime is 11127991093. The next prime is 11127991177. The reversal of 11127991140 is 4119972111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11127991095 and 11127991104.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1769682 + ... + 1775958.

It is an arithmetic number, because the mean of its divisors is an integer number (141945580).

Almost surely, 2^11127991140 is an apocalyptic number.

11127991140 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 11127991140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20440163520).

11127991140 is an abundant number, since it is smaller than the sum of its proper divisors (29752335900).

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

11127991140 is a wasteful number, since it uses less digits than its factorization.

11127991140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6376 (or 6361 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 36.

The spelling of 11127991140 in words is "eleven billion, one hundred twenty-seven million, nine hundred ninety-one thousand, one hundred forty".