5786116875 has 320 divisors, whose sum is σ = 13759595520. Its totient is φ = 2332800000.

The previous prime is 5786116871. The next prime is 5786116879.

5786116875 is a `hidden beast` number, since 578 + 6 + 1 + 1 + 68 + 7 + 5 = 666.

5786116875 is nontrivially palindromic in base 10.

5786116875 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5786116871) and next prime (5786116879).

It is not a de Polignac number, because 5786116875 - 2² = 5786116871 is a prime.

Its product of digits (2822400) is a multiple of the sum of its prime divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5786116871) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 79261839 + ... + 79261911.

It is an arithmetic number, because the mean of its divisors is an integer number (42998736).

Almost surely, 2^5786116875 is an apocalyptic number.

5786116875 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5786116875 is an abundant number, since it is smaller than the sum of its proper divisors (7973478645).

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

5786116875 is a wasteful number, since it uses less digits than its factorization.

5786116875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 160 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 54.

The square root of 5786116875 is about 76066.5292687921. The cubic root of 5786116875 is about 1795.2670800567.

The spelling of 5786116875 in words is "five billion, seven hundred eighty-six million, one hundred sixteen thousand, eight hundred seventy-five".