11172051072 has 768 divisors, whose sum is σ = 42771456000. Its totient is φ = 2717245440.

The previous prime is 11172051071. The next prime is 11172051083. The reversal of 11172051072 is 27015027111.

11172051072 is a `hidden beast` number, since 1 + 11 + 72 + 0 + 510 + 72 = 666.

11172051072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11172051071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 141418329 + ... + 141418407.

It is an arithmetic number, because the mean of its divisors is an integer number (55692000).

Almost surely, 2^11172051072 is an apocalyptic number.

11172051072 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 11172051072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21385728000).

11172051072 is an abundant number, since it is smaller than the sum of its proper divisors (31599404928).

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

11172051072 is a wasteful number, since it uses less digits than its factorization.

11172051072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 27.

Adding to 11172051072 its reverse (27015027111), we get a palindrome (38187078183).

The spelling of 11172051072 in words is "eleven billion, one hundred seventy-two million, fifty-one thousand, seventy-two".