77771144008001 has 32 divisors (see below), whose sum is σ = 79796346448896. Its totient is φ = 75777193800000.

The previous prime is 77771144007961. The next prime is 77771144008111. The reversal of 77771144008001 is 10080044117777.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-77771144008001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77771144005001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1635782636 + ... + 1635830178.

It is an arithmetic number, because the mean of its divisors is an integer number (2493635826528).

Almost surely, 2^{77771144008001} is an apocalyptic number.

It is an amenable number.

77771144008001 is a deficient number, since it is larger than the sum of its proper divisors (2025202440895).

77771144008001 is a wasteful number, since it uses less digits than its factorization.

77771144008001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48533.

The product of its (nonzero) digits is 307328, while the sum is 47.

The spelling of 77771144008001 in words is "seventy-seven trillion, seven hundred seventy-one billion, one hundred forty-four million, eight thousand, one".