11187715968 has 384 divisors, whose sum is σ = 38220305760. Its totient is φ = 3096576000.

The previous prime is 11187715967. The next prime is 11187715991. The reversal of 11187715968 is 86951778111.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11187715967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18614868 + ... + 18615468.

Almost surely, 2^11187715968 is an apocalyptic number.

11187715968 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 11187715968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19110152880).

11187715968 is an abundant number, since it is smaller than the sum of its proper divisors (27032589792).

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

11187715968 is a wasteful number, since it uses less digits than its factorization.

11187715968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 743 counting only the distinct ones).

The product of its digits is 846720, while the sum is 54.

It can be divided in two parts, 11187 and 715968, that multiplied together give a square (8009534016 = 89496²).

The spelling of 11187715968 in words is "eleven billion, one hundred eighty-seven million, seven hundred fifteen thousand, nine hundred sixty-eight".