11643259541760 has 2016 divisors, whose sum is σ = 52394854966272. Its totient is φ = 2407240581120.

The previous prime is 11643259541737. The next prime is 11643259541779. The reversal of 11643259541760 is 6714595234611.

11643259541760 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 3 + 2 + 595 + 41 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11643259541697 and 11643259541706.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 24932033047 + ... + 24932033513.

It is an arithmetic number, because the mean of its divisors is an integer number (25989511392).

Almost surely, 2^{11643259541760} is an apocalyptic number.

11643259541760 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 11643259541760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26197427483136).

11643259541760 is an abundant number, since it is smaller than the sum of its proper divisors (40751595424512).

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

11643259541760 is an equidigital number, since it uses as much as digits as its factorization.

11643259541760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 11643259541760 in words is "eleven trillion, six hundred forty-three billion, two hundred fifty-nine million, five hundred forty-one thousand, seven hundred sixty".