869114806560 has 768 divisors, whose sum is σ = 4084252139520. Its totient is φ = 166702510080.

The previous prime is 869114806559. The next prime is 869114806577. The reversal of 869114806560 is 65608411968.

869114806560 is a `hidden beast` number, since 8 + 69 + 1 + 14 + 8 + 0 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 869114806497 and 869114806506.

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, 4223829 + ... + 4424811.

It is an arithmetic number, because the mean of its divisors is an integer number (5318036640).

Almost surely, 2^869114806560 is an apocalyptic number.

869114806560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 869114806560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2042126069760).

869114806560 is an abundant number, since it is smaller than the sum of its proper divisors (3215137332960).

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

869114806560 is a wasteful number, since it uses less digits than its factorization.

869114806560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201038 (or 201024 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 869114806560 in words is "eight hundred sixty-nine billion, one hundred fourteen million, eight hundred six thousand, five hundred sixty".