11310216960 has 576 divisors, whose sum is σ = 44630756352. Its totient is φ = 2382102528.

The previous prime is 11310216941. The next prime is 11310216961. The reversal of 11310216960 is 6961201311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11310216961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24218647 + ... + 24219113.

It is an arithmetic number, because the mean of its divisors is an integer number (77483952).

Almost surely, 2^11310216960 is an apocalyptic number.

11310216960 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 11310216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22315378176).

11310216960 is an abundant number, since it is smaller than the sum of its proper divisors (33320539392).

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

11310216960 is a wasteful number, since it uses less digits than its factorization.

11310216960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The spelling of 11310216960 in words is "eleven billion, three hundred ten million, two hundred sixteen thousand, nine hundred sixty".