11272835280 has 480 divisors, whose sum is σ = 43265802240. Its totient is φ = 2371783680.

The previous prime is 11272835227. The next prime is 11272835333. The reversal of 11272835280 is 8253827211.

It is an interprime number because it is at equal distance from previous prime (11272835227) and next prime (11272835333).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59019985 + ... + 59020175.

It is an arithmetic number, because the mean of its divisors is an integer number (90137088).

Almost surely, 2^11272835280 is an apocalyptic number.

11272835280 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 11272835280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21632901120).

11272835280 is an abundant number, since it is smaller than the sum of its proper divisors (31992966960).

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

11272835280 is a wasteful number, since it uses less digits than its factorization.

11272835280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The spelling of 11272835280 in words is "eleven billion, two hundred seventy-two million, eight hundred thirty-five thousand, two hundred eighty".