11640540621200 has 60 divisors (see below), whose sum is σ = 29611481144580. Its totient is φ = 4382321172480.

The previous prime is 11640540621197. The next prime is 11640540621211. The reversal of 11640540621200 is 212604504611.

It can be written as a sum of positive squares in 6 ways, for example, as 1549168558336 + 10091372062864 = 1244656^2 + 3176692^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 855915305 + ... + 855928904.

It is an arithmetic number, because the mean of its divisors is an integer number (493524685743).

Almost surely, 2^{11640540621200} is an apocalyptic number.

11640540621200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11640540621200 is an abundant number, since it is smaller than the sum of its proper divisors (17970940523380).

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

11640540621200 is a wasteful number, since it uses less digits than its factorization.

11640540621200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711844244 (or 1711844233 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 11640540621200 in words is "eleven trillion, six hundred forty billion, five hundred forty million, six hundred twenty-one thousand, two hundred".