77626656216001 has 2 divisors, whose sum is σ = 77626656216002. Its totient is φ = 77626656216000.

The previous prime is 77626656215957. The next prime is 77626656216079. The reversal of 77626656216001 is 10061265662677.

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., 62530517325376 + 15096138890625 = 7907624^2 + 3885375^2 .

It is an emirp because it is prime and its reverse (10061265662677) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 77626656216001 - 2³³ = 77618066281409 is a prime.

It is not a weakly prime, because it can be changed into another prime (77626656216091) by changing a digit.

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 as a sum of consecutive naturals, namely, 38813328108000 + 38813328108001.

It is an arithmetic number, because the mean of its divisors is an integer number (38813328108001).

Almost surely, 2^{77626656216001} is an apocalyptic number.

It is an amenable number.

77626656216001 is a deficient number, since it is larger than the sum of its proper divisors (1).

77626656216001 is an equidigital number, since it uses as much as digits as its factorization.

77626656216001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7620480, while the sum is 55.

The spelling of 77626656216001 in words is "seventy-seven trillion, six hundred twenty-six billion, six hundred fifty-six million, two hundred sixteen thousand, one".