11165521440 has 96 divisors (see below), whose sum is σ = 35220104640. Its totient is φ = 2973348864.

The previous prime is 11165521363. The next prime is 11165521459. The reversal of 11165521440 is 4412556111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11165521398 and 11165521407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338982 + ... + 370458.

It is an arithmetic number, because the mean of its divisors is an integer number (366876090).

Almost surely, 2^11165521440 is an apocalyptic number.

11165521440 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 11165521440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17610052320).

11165521440 is an abundant number, since it is smaller than the sum of its proper divisors (24054583200).

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

11165521440 is a wasteful number, since it uses less digits than its factorization.

11165521440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32234 (or 32226 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 11165521440 in words is "eleven billion, one hundred sixty-five million, five hundred twenty-one thousand, four hundred forty".