11280867264 has 336 divisors, whose sum is σ = 36035650560. Its totient is φ = 3359232000.

The previous prime is 11280867239. The next prime is 11280867271. The reversal of 11280867264 is 46276808211.

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, 13909419 + ... + 13910229.

It is an arithmetic number, because the mean of its divisors is an integer number (107248960).

Almost surely, 2^11280867264 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 11280867264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18017825280).

11280867264 is an abundant number, since it is smaller than the sum of its proper divisors (24754783296).

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

11280867264 is a wasteful number, since it uses less digits than its factorization.

11280867264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 11280867264 in words is "eleven billion, two hundred eighty million, eight hundred sixty-seven thousand, two hundred sixty-four".