869684983405056 has 1920 divisors, whose sum is σ = 3463391815403520. Its totient is φ = 211420709978112.

The previous prime is 869684983405033. The next prime is 869684983405103. The reversal of 869684983405056 is 650504389486968.

869684983405056 is a `hidden beast` number, since 8 + 6 + 9 + 6 + 84 + 9 + 83 + 405 + 0 + 56 = 666.

It is a super-2 number, since 2×869684983405056² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7959210135 + ... + 7959319401.

It is an arithmetic number, because the mean of its divisors is an integer number (1803849903856).

Almost surely, 2^{869684983405056} 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 869684983405056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731695907701760).

869684983405056 is an abundant number, since it is smaller than the sum of its proper divisors (2593706831998464).

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

869684983405056 is a wasteful number, since it uses less digits than its factorization.

869684983405056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109376 (or 109348 counting only the distinct ones).

The product of its (nonzero) digits is 10749542400, while the sum is 81.

The spelling of 869684983405056 in words is "eight hundred sixty-nine trillion, six hundred eighty-four billion, nine hundred eighty-three million, four hundred five thousand, fifty-six".