11140911360 has 216 divisors, whose sum is σ = 38631489624. Its totient is φ = 2964357120.

The previous prime is 11140911343. The next prime is 11140911361. The reversal of 11140911360 is 6311904111.

It can be written as a sum of positive squares in 4 ways, for example, as 231526656 + 10909384704 = 15216^2 + 104448^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11140911361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7521820 + ... + 7523300.

It is an arithmetic number, because the mean of its divisors is an integer number (178849489).

Almost surely, 2^11140911360 is an apocalyptic number.

11140911360 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 11140911360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19315744812).

11140911360 is an abundant number, since it is smaller than the sum of its proper divisors (27490578264).

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

11140911360 is a wasteful number, since it uses less digits than its factorization.

11140911360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 11140911360 in words is "eleven billion, one hundred forty million, nine hundred eleven thousand, three hundred sixty".