11234280960 has 960 divisors, whose sum is σ = 48365475840. Its totient is φ = 2461777920.

The previous prime is 11234280899. The next prime is 11234280961. The reversal of 11234280960 is 6908243211.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11234280961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104993227 + ... + 104993333.

It is an arithmetic number, because the mean of its divisors is an integer number (50380704).

Almost surely, 2^11234280960 is an apocalyptic number.

11234280960 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 11234280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24182737920).

11234280960 is an abundant number, since it is smaller than the sum of its proper divisors (37131194880).

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

11234280960 is a wasteful number, since it uses less digits than its factorization.

11234280960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 11234280960 in words is "eleven billion, two hundred thirty-four million, two hundred eighty thousand, nine hundred sixty".