11264410021520 has 80 divisors (see below), whose sum is σ = 26456518393200. Its totient is φ = 4460057444352.

The previous prime is 11264410021483. The next prime is 11264410021523. The reversal of 11264410021520 is 2512001446211.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 140424071824 + 11123985949696 = 374732^2 + 3335264^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11264410021520² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11264410021523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2352584 + ... + 5297496.

It is an arithmetic number, because the mean of its divisors is an integer number (330706479915).

Almost surely, 2^{11264410021520} is an apocalyptic number.

11264410021520 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 11264410021520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13228259196600).

11264410021520 is an abundant number, since it is smaller than the sum of its proper divisors (15192108371680).

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

11264410021520 is a wasteful number, since it uses less digits than its factorization.

11264410021520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2945412 (or 2945406 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

Adding to 11264410021520 its reverse (2512001446211), we get a palindrome (13776411467731).

The spelling of 11264410021520 in words is "eleven trillion, two hundred sixty-four billion, four hundred ten million, twenty-one thousand, five hundred twenty".