11578073824896 has 64 divisors (see below), whose sum is σ = 31746331488000. Its totient is φ = 3734862520320.

The previous prime is 11578073824847. The next prime is 11578073824943. The reversal of 11578073824896 is 69842837087511.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 11578073824896.

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 7 ways as a sum of consecutive naturals, for example, 486298321 + ... + 486322128.

It is an arithmetic number, because the mean of its divisors is an integer number (496036429500).

It is a 1-persistent number, because it is pandigital, but 2⋅11578073824896 = 23156147649792 is not.

Almost surely, 2^{11578073824896} is an apocalyptic number.

11578073824896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11578073824896 is an abundant number, since it is smaller than the sum of its proper divisors (20168257663104).

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

11578073824896 is an equidigital number, since it uses as much as digits as its factorization.

11578073824896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972620497 (or 972620485 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 69.

The spelling of 11578073824896 in words is "eleven trillion, five hundred seventy-eight billion, seventy-three million, eight hundred twenty-four thousand, eight hundred ninety-six".