11263000320 has 1152 divisors, whose sum is σ = 48953963520. Its totient is φ = 2415329280.

The previous prime is 11263000319. The next prime is 11263000339. The reversal of 11263000320 is 2300036211.

11263000320 is a `hidden beast` number, since 1 + 1 + 2 + 630 + 0 + 0 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11263000293 and 11263000302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 212509414 + ... + 212509466.

It is an arithmetic number, because the mean of its divisors is an integer number (42494760).

Almost surely, 2^11263000320 is an apocalyptic number.

11263000320 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 11263000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24476981760).

11263000320 is an abundant number, since it is smaller than the sum of its proper divisors (37690963200).

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

11263000320 is a wasteful number, since it uses less digits than its factorization.

11263000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11263000320 its reverse (2300036211), we get a palindrome (13563036531).

The spelling of 11263000320 in words is "eleven billion, two hundred sixty-three million, three hundred twenty", and thus it is an aban number.