11486075793920 has 1280 divisors, whose sum is σ = 35901702144000. Its totient is φ = 3499812126720.

The previous prime is 11486075793919. The next prime is 11486075793931. The reversal of 11486075793920 is 2939757068411.

It is a tau number, because it is divible by the number of its divisors (1280).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42384043385 + ... + 42384043655.

It is an arithmetic number, because the mean of its divisors is an integer number (28048204800).

It is a 1-persistent number, because it is pandigital, but 2⋅11486075793920 = 22972151587840 is not.

Almost surely, 2^{11486075793920} is an apocalyptic number.

11486075793920 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 11486075793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17950851072000).

11486075793920 is an abundant number, since it is smaller than the sum of its proper divisors (24415626350080).

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

11486075793920 is an equidigital number, since it uses as much as digits as its factorization.

11486075793920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 62.

The spelling of 11486075793920 in words is "eleven trillion, four hundred eighty-six billion, seventy-five million, seven hundred ninety-three thousand, nine hundred twenty".