869083907328 has 1296 divisors, whose sum is σ = 3425139466560. Its totient is φ = 215410212864.

The previous prime is 869083907317. The next prime is 869083907353. The reversal of 869083907328 is 823709380968.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1272450475 + ... + 1272451157.

Almost surely, 2^869083907328 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 869083907328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712569733280).

869083907328 is an abundant number, since it is smaller than the sum of its proper divisors (2556055559232).

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

869083907328 is a wasteful number, since it uses less digits than its factorization.

869083907328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 869083907328 in words is "eight hundred sixty-nine billion, eighty-three million, nine hundred seven thousand, three hundred twenty-eight".