11767584680 has 64 divisors (see below), whose sum is σ = 27243216000. Its totient is φ = 4572046080.

The previous prime is 11767584677. The next prime is 11767584683. The reversal of 11767584680 is 8648576711.

It is an interprime number because it is at equal distance from previous prime (11767584677) and next prime (11767584683).

It is not an unprimeable number, because it can be changed into a prime (11767584683) 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 15 ways as a sum of consecutive naturals, for example, 292421 + ... + 330219.

It is an arithmetic number, because the mean of its divisors is an integer number (425675250).

Almost surely, 2^11767584680 is an apocalyptic number.

11767584680 is a gapful number since it is divisible by the number (10) 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 11767584680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13621608000).

11767584680 is an abundant number, since it is smaller than the sum of its proper divisors (15475631320).

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

11767584680 is a wasteful number, since it uses less digits than its factorization.

11767584680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38034 (or 38030 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 53.

The spelling of 11767584680 in words is "eleven billion, seven hundred sixty-seven million, five hundred eighty-four thousand, six hundred eighty".