11480308968960 has 640 divisors, whose sum is σ = 46227291264000. Its totient is φ = 2677185478656.

The previous prime is 11480308968923. The next prime is 11480308968983. The reversal of 11480308968960 is 6986980308411.

11480308968960 is a `hidden beast` number, since 1 + 1 + 480 + 3 + 0 + 8 + 9 + 68 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16736421 + ... + 17408859.

It is an arithmetic number, because the mean of its divisors is an integer number (72230142600).

Almost surely, 2^{11480308968960} is an apocalyptic number.

11480308968960 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 11480308968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23113645632000).

11480308968960 is an abundant number, since it is smaller than the sum of its proper divisors (34746982295040).

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

11480308968960 is a wasteful number, since it uses less digits than its factorization.

11480308968960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672503 (or 672481 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 11480308968960 in words is "eleven trillion, four hundred eighty billion, three hundred eight million, nine hundred sixty-eight thousand, nine hundred sixty".