11660276765280 has 1152 divisors, whose sum is σ = 45887854924800. Its totient is φ = 2465407549440.

The previous prime is 11660276765273. The next prime is 11660276765287. The reversal of 11660276765280 is 8256767206611.

11660276765280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11660276765273) and next prime (11660276765287).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 11660276765280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11660276765287) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6986384286 + ... + 6986385954.

It is an arithmetic number, because the mean of its divisors is an integer number (39833207400).

Almost surely, 2^{11660276765280} is an apocalyptic number.

11660276765280 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 11660276765280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22943927462400).

11660276765280 is an abundant number, since it is smaller than the sum of its proper divisors (34227578159520).

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

11660276765280 is a wasteful number, since it uses less digits than its factorization.

11660276765280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228 (or 2209 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 11660276765280 in words is "eleven trillion, six hundred sixty billion, two hundred seventy-six million, seven hundred sixty-five thousand, two hundred eighty".