11872006670801 has 2 divisors, whose sum is σ = 11872006670802. Its totient is φ = 11872006670800.

The previous prime is 11872006670681. The next prime is 11872006670861. The reversal of 11872006670801 is 10807660027811.

11872006670801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9190453043776 + 2681553627025 = 3031576^2 + 1637545^2 .

It is a cyclic number.

It is not a de Polignac number, because 11872006670801 - 2⁴² = 7473960159697 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (11872006670861) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5936003335400 + 5936003335401.

It is an arithmetic number, because the mean of its divisors is an integer number (5936003335401).

Almost surely, 2^{11872006670801} is an apocalyptic number.

It is an amenable number.

11872006670801 is a deficient number, since it is larger than the sum of its proper divisors (1).

11872006670801 is an equidigital number, since it uses as much as digits as its factorization.

11872006670801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 225792, while the sum is 47.

The spelling of 11872006670801 in words is "eleven trillion, eight hundred seventy-two billion, six million, six hundred seventy thousand, eight hundred one".