823975670952 has 96 divisors (see below), whose sum is σ = 2552175475200. Its totient is φ = 235257812352.

The previous prime is 823975670951. The next prime is 823975670953. The reversal of 823975670952 is 259076579328.

823975670952 is a `hidden beast` number, since 82 + 397 + 56 + 70 + 9 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (823975670951) and next prime (823975670953).

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

It is a self number, because there is not a number n which added to its sum of digits gives 823975670952.

It is not an unprimeable number, because it can be changed into a prime (823975670951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157198 + ... + 1293314.

It is an arithmetic number, because the mean of its divisors is an integer number (26585161200).

Almost surely, 2^823975670952 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 823975670952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276087737600).

823975670952 is an abundant number, since it is smaller than the sum of its proper divisors (1728199804248).

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

823975670952 is a wasteful number, since it uses less digits than its factorization.

823975670952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137575 (or 1137568 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 823975670952 in words is "eight hundred twenty-three billion, nine hundred seventy-five million, six hundred seventy thousand, nine hundred fifty-two".