11171656788480 has 640 divisors, whose sum is σ = 40259485728000. Its totient is φ = 2935983439872.

The previous prime is 11171656788469. The next prime is 11171656788497. The reversal of 11171656788480 is 8488765617111.

11171656788480 is a `hidden beast` number, since 1 + 1 + 1 + 7 + 16 + 5 + 67 + 88 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2575892872 + ... + 2575897208.

It is an arithmetic number, because the mean of its divisors is an integer number (62905446450).

Almost surely, 2^{11171656788480} is an apocalyptic number.

11171656788480 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 11171656788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20129742864000).

11171656788480 is an abundant number, since it is smaller than the sum of its proper divisors (29087828939520).

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

11171656788480 is an equidigital number, since it uses as much as digits as its factorization.

11171656788480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4901 (or 4879 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 63.

The spelling of 11171656788480 in words is "eleven trillion, one hundred seventy-one billion, six hundred fifty-six million, seven hundred eighty-eight thousand, four hundred eighty".