11264339520 has 700 divisors, whose sum is σ = 47002919964. Its totient is φ = 2560481280.

The previous prime is 11264339477. The next prime is 11264339543. The reversal of 11264339520 is 2593346211.

11264339520 is a `hidden beast` number, since 1 + 1 + 2 + 643 + 3 + 9 + 5 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1506060864 + 9758278656 = 38808^2 + 98784^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 62233830 + ... + 62234010.

Almost surely, 2^11264339520 is an apocalyptic number.

11264339520 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 11264339520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23501459982).

11264339520 is an abundant number, since it is smaller than the sum of its proper divisors (35738580444).

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

11264339520 is an frugal number, since it uses more digits than its factorization.

11264339520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 11264339520 in words is "eleven billion, two hundred sixty-four million, three hundred thirty-nine thousand, five hundred twenty".