11065831096320 has 5120 divisors, whose sum is σ = 57550844736000. Its totient is φ = 1997663109120.

The previous prime is 11065831096319. The next prime is 11065831096349. The reversal of 11065831096320 is 2369013856011.

11065831096320 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 5 + 8 + 3 + 1 + 0 + 9 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 650931240952 + ... + 650931240968.

Almost surely, 2^{11065831096320} is an apocalyptic number.

11065831096320 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 11065831096320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28775422368000).

11065831096320 is an abundant number, since it is smaller than the sum of its proper divisors (46485013639680).

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

11065831096320 is an equidigital number, since it uses as much as digits as its factorization.

11065831096320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 11065831096320 in words is "eleven trillion, sixty-five billion, eight hundred thirty-one million, ninety-six thousand, three hundred twenty".