11384976960 has 336 divisors, whose sum is σ = 45966375936. Its totient is φ = 2531782656.

The previous prime is 11384976937. The next prime is 11384976961. The reversal of 11384976960 is 6967948311.

11384976960 is a `hidden beast` number, since 1 + 1 + 38 + 497 + 69 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 11384976897 and 11384976906.

It is not an unprimeable number, because it can be changed into a prime (11384976961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 738289 + ... + 753551.

Almost surely, 2^11384976960 is an apocalyptic number.

11384976960 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 11384976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22983187968).

11384976960 is an abundant number, since it is smaller than the sum of its proper divisors (34581398976).

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

11384976960 is a wasteful number, since it uses less digits than its factorization.

11384976960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15330 (or 15317 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 11384976960 in words is "eleven billion, three hundred eighty-four million, nine hundred seventy-six thousand, nine hundred sixty".