11120541751872 has 672 divisors, whose sum is σ = 40071439279872. Its totient is φ = 2985060335616.

The previous prime is 11120541751859. The next prime is 11120541751903. The reversal of 11120541751872 is 27815714502111.

11120541751872 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 0 + 54 + 17 + 518 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1097452918 + ... + 1097463050.

It is an arithmetic number, because the mean of its divisors is an integer number (59630117976).

Almost surely, 2^{11120541751872} is an apocalyptic number.

11120541751872 is a gapful number since it is divisible by the number (12) 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 11120541751872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20035719639936).

11120541751872 is an abundant number, since it is smaller than the sum of its proper divisors (28950897528000).

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

11120541751872 is a wasteful number, since it uses less digits than its factorization.

11120541751872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10777 (or 10755 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 45.

The spelling of 11120541751872 in words is "eleven trillion, one hundred twenty billion, five hundred forty-one million, seven hundred fifty-one thousand, eight hundred seventy-two".