869656515120 has 160 divisors (see below), whose sum is σ = 2997461721600. Its totient is φ = 231755256576.

The previous prime is 869656515109. The next prime is 869656515239. The reversal of 869656515120 is 21515656968.

869656515120 is a `hidden beast` number, since 8 + 6 + 9 + 6 + 565 + 1 + 51 + 20 = 666.

It is a super-2 number, since 2×869656515120² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3157501 + ... + 3421859.

It is an arithmetic number, because the mean of its divisors is an integer number (18734135760).

Almost surely, 2^869656515120 is an apocalyptic number.

869656515120 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 869656515120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498730860800).

869656515120 is an abundant number, since it is smaller than the sum of its proper divisors (2127805206480).

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

869656515120 is a wasteful number, since it uses less digits than its factorization.

869656515120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265904 (or 265892 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 869656515120 in words is "eight hundred sixty-nine billion, six hundred fifty-six million, five hundred fifteen thousand, one hundred twenty".