11757612407201 has 2 divisors, whose sum is σ = 11757612407202. Its totient is φ = 11757612407200.

The previous prime is 11757612407183. The next prime is 11757612407227. The reversal of 11757612407201 is 10270421675711.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10992381106576 + 765231300625 = 3315476^2 + 874775^2 .

It is a cyclic number.

It is not a de Polignac number, because 11757612407201 - 2³⁸ = 11482734500257 is a prime.

It is not a weakly prime, because it can be changed into another prime (11757612404201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5878806203600 + 5878806203601.

It is an arithmetic number, because the mean of its divisors is an integer number (5878806203601).

Almost surely, 2^{11757612407201} is an apocalyptic number.

It is an amenable number.

11757612407201 is a deficient number, since it is larger than the sum of its proper divisors (1).

11757612407201 is an equidigital number, since it uses as much as digits as its factorization.

11757612407201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 164640, while the sum is 44.

The spelling of 11757612407201 in words is "eleven trillion, seven hundred fifty-seven billion, six hundred twelve million, four hundred seven thousand, two hundred one".