11640419627013 has 48 divisors (see below), whose sum is σ = 17467527168000. Its totient is φ = 7461869173920.

The previous prime is 11640419627003. The next prime is 11640419627017. The reversal of 11640419627013 is 31072691404611.

11640419627013 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 0 + 4 + 1 + 9 + 627 + 0 + 13 = 666.

It is not a de Polignac number, because 11640419627013 - 2⁹ = 11640419626501 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11640419627013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11640419627017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114521388 + ... + 114622986.

It is an arithmetic number, because the mean of its divisors is an integer number (363906816000).

Almost surely, 2^{11640419627013} is an apocalyptic number.

It is an amenable number.

11640419627013 is a deficient number, since it is larger than the sum of its proper divisors (5827107540987).

11640419627013 is a wasteful number, since it uses less digits than its factorization.

11640419627013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104262 (or 104259 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 11640419627013 in words is "eleven trillion, six hundred forty billion, four hundred nineteen million, six hundred twenty-seven thousand, thirteen".