11280868704 has 576 divisors, whose sum is σ = 41053049856. Its totient is φ = 2974040064.

The previous prime is 11280868681. The next prime is 11280868771. The reversal of 11280868704 is 40786808211.

It is a self number, because there is not a number n which added to its sum of digits gives 11280868704.

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, 67550029 + ... + 67550195.

It is an arithmetic number, because the mean of its divisors is an integer number (71272656).

Almost surely, 2^11280868704 is an apocalyptic number.

11280868704 is a gapful number since it is divisible by the number (14) 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 11280868704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20526524928).

11280868704 is an abundant number, since it is smaller than the sum of its proper divisors (29772181152).

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

11280868704 is a wasteful number, since it uses less digits than its factorization.

11280868704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 11280868704 in words is "eleven billion, two hundred eighty million, eight hundred sixty-eight thousand, seven hundred four".