869168627712 has 1920 divisors, whose sum is σ = 3623768064000. Its totient is φ = 198747095040.

The previous prime is 869168627689. The next prime is 869168627759. The reversal of 869168627712 is 217726861968.

It is a super-2 number, since 2×869168627712² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 869168627712.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11002134489 + ... + 11002134567.

It is an arithmetic number, because the mean of its divisors is an integer number (1887379200).

Almost surely, 2^869168627712 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 869168627712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811884032000).

869168627712 is an abundant number, since it is smaller than the sum of its proper divisors (2754599436288).

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

869168627712 is a wasteful number, since it uses less digits than its factorization.

869168627712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 138 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The spelling of 869168627712 in words is "eight hundred sixty-nine billion, one hundred sixty-eight million, six hundred twenty-seven thousand, seven hundred twelve".