869285975683608 has 1152 divisors, whose sum is σ = 3020955844608000. Its totient is φ = 224259295680000.

The previous prime is 869285975683597. The next prime is 869285975683663. The reversal of 869285975683608 is 806386579582968.

It is a happy number.

869285975683608 is a `hidden beast` number, since 8 + 6 + 9 + 2 + 8 + 5 + 9 + 7 + 568 + 36 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 169815581673 + ... + 169815586791.

It is an arithmetic number, because the mean of its divisors is an integer number (2622357504000).

Almost surely, 2^{869285975683608} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 869285975683608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510477922304000).

869285975683608 is an abundant number, since it is smaller than the sum of its proper divisors (2151669868924392).

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

869285975683608 is a wasteful number, since it uses less digits than its factorization.

869285975683608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6417 (or 6403 counting only the distinct ones).

The product of its (nonzero) digits is 75246796800, while the sum is 90.

The spelling of 869285975683608 in words is "eight hundred sixty-nine trillion, two hundred eighty-five billion, nine hundred seventy-five million, six hundred eighty-three thousand, six hundred eight".