869952599712 has 1080 divisors, whose sum is σ = 3203077786524. Its totient is φ = 230886899712.

The previous prime is 869952599687. The next prime is 869952599743. The reversal of 869952599712 is 217995259968.

869952599712 is a `hidden beast` number, since 8 + 6 + 9 + 9 + 525 + 9 + 97 + 1 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 833561696016 + 36390903696 = 912996^2 + 190764^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 5028627658 + ... + 5028627830.

Almost surely, 2^869952599712 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 869952599712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601538893262).

869952599712 is an abundant number, since it is smaller than the sum of its proper divisors (2333125186812).

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

869952599712 is a wasteful number, since it uses less digits than its factorization.

869952599712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 339 counting only the distinct ones).

The product of its digits is 220449600, while the sum is 72.

The spelling of 869952599712 in words is "eight hundred sixty-nine billion, nine hundred fifty-two million, five hundred ninety-nine thousand, seven hundred twelve".