5385674765835 has 288 divisors, whose sum is σ = 12266338436352. Its totient is φ = 2164146647040.

The previous prime is 5385674765831. The next prime is 5385674765839.

5385674765835 is a `hidden beast` number, since 5 + 3 + 8 + 567 + 4 + 7 + 6 + 58 + 3 + 5 = 666.

5385674765835 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (5385674765831) and next prime (5385674765839).

It is not a de Polignac number, because 5385674765835 - 2² = 5385674765831 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5385674765831) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 49794415 + ... + 49902455.

It is an arithmetic number, because the mean of its divisors is an integer number (42591452904).

Almost surely, 2^{5385674765835} is an apocalyptic number.

5385674765835 is an abundant number, since it is smaller than the sum of its proper divisors (6880663670517).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5385674765835 is a wasteful number, since it uses less digits than its factorization.

5385674765835 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108163 (or 108153 counting only the distinct ones).

The product of its digits is 2540160000, while the sum is 72.

The spelling of 5385674765835 in words is "five trillion, three hundred eighty-five billion, six hundred seventy-four million, seven hundred sixty-five thousand, eight hundred thirty-five".