11478143574560 has 384 divisors, whose sum is σ = 29907843840000. Its totient is φ = 4137303785472.

The previous prime is 11478143574503. The next prime is 11478143574563. The reversal of 11478143574560 is 6547534187411.

It is a junction number, because it is equal to n+sod(n) for n = 11478143574496 and 11478143574505.

It is not an unprimeable number, because it can be changed into a prime (11478143574563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5657043626 + ... + 5657045654.

It is an arithmetic number, because the mean of its divisors is an integer number (77885010000).

Almost surely, 2^{11478143574560} is an apocalyptic number.

11478143574560 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 11478143574560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14953921920000).

11478143574560 is an abundant number, since it is smaller than the sum of its proper divisors (18429700265440).

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

11478143574560 is a wasteful number, since it uses less digits than its factorization.

11478143574560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2508 (or 2500 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 56.

The spelling of 11478143574560 in words is "eleven trillion, four hundred seventy-eight billion, one hundred forty-three million, five hundred seventy-four thousand, five hundred sixty".