11480190096960 has 672 divisors, whose sum is σ = 43418813937408. Its totient is φ = 2766692597760.

The previous prime is 11480190096929. The next prime is 11480190096967. The reversal of 11480190096960 is 6969009108411.

11480190096960 is a `hidden beast` number, since 1 + 1 + 480 + 19 + 0 + 0 + 96 + 9 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11480190096897 and 11480190096906.

It is not an unprimeable number, because it can be changed into a prime (11480190096967) 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, 974295229 + ... + 974307011.

It is an arithmetic number, because the mean of its divisors is an integer number (64611330264).

Almost surely, 2^{11480190096960} is an apocalyptic number.

11480190096960 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 11480190096960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21709406968704).

11480190096960 is an abundant number, since it is smaller than the sum of its proper divisors (31938623840448).

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

11480190096960 is a wasteful number, since it uses less digits than its factorization.

11480190096960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12363 (or 12350 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The spelling of 11480190096960 in words is "eleven trillion, four hundred eighty billion, one hundred ninety million, ninety-six thousand, nine hundred sixty".