11643035009760 has 1344 divisors, whose sum is σ = 51552100131840. Its totient is φ = 2413003530240.

The previous prime is 11643035009731. The next prime is 11643035009803. The reversal of 11643035009760 is 6790053034611.

It is a happy number.

11643035009760 is a `hidden beast` number, since 1 + 16 + 43 + 0 + 3 + 500 + 97 + 6 + 0 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3942780444 + ... + 3942783396.

It is an arithmetic number, because the mean of its divisors is an integer number (38357217360).

Almost surely, 2^{11643035009760} is an apocalyptic number.

11643035009760 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 11643035009760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25776050065920).

11643035009760 is an abundant number, since it is smaller than the sum of its proper divisors (39909065122080).

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

11643035009760 is a wasteful number, since it uses less digits than its factorization.

11643035009760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3443 (or 3420 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 11643035009760 in words is "eleven trillion, six hundred forty-three billion, thirty-five million, nine thousand, seven hundred sixty".