11711875680 has 72 divisors (see below), whose sum is σ = 39966780672. Its totient is φ = 3123166464.

The previous prime is 11711875673. The next prime is 11711875687. The reversal of 11711875680 is 8657811711.

It is a happy number.

11711875680 is a `hidden beast` number, since 1 + 1 + 7 + 1 + 1 + 87 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11711875673) and next prime (11711875687).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11711875687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4065184 + ... + 4068063.

It is an arithmetic number, because the mean of its divisors is an integer number (555094176).

Almost surely, 2^11711875680 is an apocalyptic number.

11711875680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11711875680 is an abundant number, since it is smaller than the sum of its proper divisors (28254904992).

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

11711875680 is a wasteful number, since it uses less digits than its factorization.

11711875680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8133268 (or 8133257 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 45.

The spelling of 11711875680 in words is "eleven billion, seven hundred eleven million, eight hundred seventy-five thousand, six hundred eighty".