11565751680 has 384 divisors, whose sum is σ = 46233907200. Its totient is φ = 2609418240.

The previous prime is 11565751669. The next prime is 11565751709. The reversal of 11565751680 is 8615756511.

It is a happy number.

11565751680 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 57 + 516 + 80 = 666.

11565751680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×11565751680² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3183465 + ... + 3187095.

It is an arithmetic number, because the mean of its divisors is an integer number (120400800).

Almost surely, 2^11565751680 is an apocalyptic number.

11565751680 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 11565751680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23116953600).

11565751680 is an abundant number, since it is smaller than the sum of its proper divisors (34668155520).

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

11565751680 is a wasteful number, since it uses less digits than its factorization.

11565751680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3742 (or 3727 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 45.

The spelling of 11565751680 in words is "eleven billion, five hundred sixty-five million, seven hundred fifty-one thousand, six hundred eighty".