11168787468672 has 512 divisors, whose sum is σ = 34502112000000. Its totient is φ = 3552345538560.

The previous prime is 11168787468659. The next prime is 11168787468673. The reversal of 11168787468672 is 27686478786111.

11168787468672 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 87 + 87 + 468 + 6 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 11168787468672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11168787468673) 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 63 ways as a sum of consecutive naturals, for example, 5587186329 + ... + 5587188327.

It is an arithmetic number, because the mean of its divisors is an integer number (67386937500).

Almost surely, 2^{11168787468672} is an apocalyptic number.

11168787468672 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 11168787468672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17251056000000).

11168787468672 is an abundant number, since it is smaller than the sum of its proper divisors (23333324531328).

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

11168787468672 is a wasteful number, since it uses less digits than its factorization.

11168787468672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2679 (or 2661 counting only the distinct ones).

The product of its digits is 303464448, while the sum is 72.

The spelling of 11168787468672 in words is "eleven trillion, one hundred sixty-eight billion, seven hundred eighty-seven million, four hundred sixty-eight thousand, six hundred seventy-two".