11253135320 has 192 divisors, whose sum is σ = 30772120320. Its totient is φ = 3627410688.

The previous prime is 11253135293. The next prime is 11253135331. The reversal of 11253135320 is 2353135211.

It is a self number, because there is not a number n which added to its sum of digits gives 11253135320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16475699 + ... + 16476381.

It is an arithmetic number, because the mean of its divisors is an integer number (160271460).

Almost surely, 2^11253135320 is an apocalyptic number.

11253135320 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 11253135320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15386060160).

11253135320 is an abundant number, since it is smaller than the sum of its proper divisors (19518985000).

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

11253135320 is a wasteful number, since it uses less digits than its factorization.

11253135320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

The spelling of 11253135320 in words is "eleven billion, two hundred fifty-three million, one hundred thirty-five thousand, three hundred twenty".