6617856587166 has 288 divisors, whose sum is σ = 17098257496320. Its totient is φ = 1841138449920.

The previous prime is 6617856587131. The next prime is 6617856587201.

6617856587166 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (6617856587131) and next prime (6617856587201).

It is a junction number, because it is equal to n+sod(n) for n = 6617856587094 and 6617856587103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1463154181 + ... + 1463158703.

It is an arithmetic number, because the mean of its divisors is an integer number (59368949640).

Almost surely, 2^{6617856587166} is an apocalyptic number.

6617856587166 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6617856587166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8549128748160).

6617856587166 is an abundant number, since it is smaller than the sum of its proper divisors (10480400909154).

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

6617856587166 is a wasteful number, since it uses less digits than its factorization.

6617856587166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5532 (or 5518 counting only the distinct ones).

The product of its digits is 609638400, while the sum is 72.

The spelling of 6617856587166 in words is "six trillion, six hundred seventeen billion, eight hundred fifty-six million, five hundred eighty-seven thousand, one hundred sixty-six".