71611177717057 has 12 divisors (see below), whose sum is σ = 82135421948160. Its totient is φ = 62270589316760.

The previous prime is 71611177716971. The next prime is 71611177717081. The reversal of 71611177717057 is 75071777111617.

It is not a de Polignac number, because 71611177717057 - 2³¹ = 71609030233409 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 71611177716992 and 71611177717010.

It is not an unprimeable number, because it can be changed into a prime (71611177715057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12865821457 + ... + 12865827022.

It is an arithmetic number, because the mean of its divisors is an integer number (6844618495680).

Almost surely, 2^{71611177717057} is an apocalyptic number.

It is an amenable number.

71611177717057 is a deficient number, since it is larger than the sum of its proper divisors (10524244231103).

71611177717057 is a wasteful number, since it uses less digits than its factorization.

71611177717057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25731648524 (or 25731648513 counting only the distinct ones).

The product of its (nonzero) digits is 3529470, while the sum is 58.

The spelling of 71611177717057 in words is "seventy-one trillion, six hundred eleven billion, one hundred seventy-seven million, seven hundred seventeen thousand, fifty-seven".