11284716960 has 768 divisors, whose sum is σ = 46572019200. Its totient is φ = 2521497600.

The previous prime is 11284716931. The next prime is 11284716983. The reversal of 11284716960 is 6961748211.

11284716960 is a `hidden beast` number, since 112 + 8 + 471 + 6 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49278126 + ... + 49278354.

It is an arithmetic number, because the mean of its divisors is an integer number (60640650).

Almost surely, 2^11284716960 is an apocalyptic number.

11284716960 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 11284716960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23286009600).

11284716960 is an abundant number, since it is smaller than the sum of its proper divisors (35287302240).

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

11284716960 is a wasteful number, since it uses less digits than its factorization.

11284716960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 11284716960 in words is "eleven billion, two hundred eighty-four million, seven hundred sixteen thousand, nine hundred sixty".