11172082940928 has 2640 divisors, whose sum is σ = 45539533670400. Its totient is φ = 2693835325440.

The previous prime is 11172082940917. The next prime is 11172082940999. The reversal of 11172082940928 is 82904928027111.

11172082940928 is a `hidden beast` number, since 1 + 1 + 1 + 7 + 208 + 2 + 9 + 409 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 31120008013 + ... + 31120008371.

It is an arithmetic number, because the mean of its divisors is an integer number (17249823360).

Almost surely, 2^{11172082940928} is an apocalyptic number.

11172082940928 is a gapful number since it is divisible by the number (18) 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 11172082940928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22769766835200).

11172082940928 is an abundant number, since it is smaller than the sum of its proper divisors (34367450729472).

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

11172082940928 is a wasteful number, since it uses less digits than its factorization.

11172082940928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 11172082940928 in words is "eleven trillion, one hundred seventy-two billion, eighty-two million, nine hundred forty thousand, nine hundred twenty-eight".