77986137112577 has 8 divisors (see below), whose sum is σ = 81216759321000. Its totient is φ = 74791611241984.

The previous prime is 77986137112523. The next prime is 77986137112607. The reversal of 77986137112577 is 77521173168977.

It is a Cunningham number, because it is equal to 8830976²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 9136618563856 + 68849518548721 = 3022684^2 + 8297561^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 77986137112577 - 2¹⁶ = 77986137047041 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 77986137112577.

It is not an unprimeable number, because it can be changed into a prime (77986137112277) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9024080048 + ... + 9024088689.

It is an arithmetic number, because the mean of its divisors is an integer number (10152094915125).

It is a Proth number, since it is equal to 290521 ⋅ 2²⁸ + 1 and 290521 < 2²⁸.

Almost surely, 2^{77986137112577} is an apocalyptic number.

It is an amenable number.

77986137112577 is a deficient number, since it is larger than the sum of its proper divisors (3230622208423).

77986137112577 is a wasteful number, since it uses less digits than its factorization.

77986137112577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18048168915.

The product of its digits is 217818720, while the sum is 71.

The spelling of 77986137112577 in words is "seventy-seven trillion, nine hundred eighty-six billion, one hundred thirty-seven million, one hundred twelve thousand, five hundred seventy-seven".