11272735488 has 288 divisors, whose sum is σ = 35438054400. Its totient is φ = 3114270720.

The previous prime is 11272735471. The next prime is 11272735489. The reversal of 11272735488 is 88453727211.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (11272735489) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43862656 + ... + 43862912.

It is an arithmetic number, because the mean of its divisors is an integer number (123048800).

Almost surely, 2^11272735488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11272735488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17719027200).

11272735488 is an abundant number, since it is smaller than the sum of its proper divisors (24165318912).

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

11272735488 is a wasteful number, since it uses less digits than its factorization.

11272735488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 509 counting only the distinct ones).

The product of its digits is 752640, while the sum is 48.

The spelling of 11272735488 in words is "eleven billion, two hundred seventy-two million, seven hundred thirty-five thousand, four hundred eighty-eight".