869923853568 has 864 divisors, whose sum is σ = 3297716997120. Its totient is φ = 223661813760.

The previous prime is 869923853551. The next prime is 869923853587. The reversal of 869923853568 is 865358329968.

869923853568 is a `hidden beast` number, since 8 + 6 + 9 + 9 + 2 + 3 + 8 + 53 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×869923853568² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 869923853496 and 869923853505.

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 95 ways as a sum of consecutive naturals, for example, 383732371 + ... + 383734637.

It is an arithmetic number, because the mean of its divisors is an integer number (3816802080).

Almost surely, 2^869923853568 is an apocalyptic number.

869923853568 is a gapful number since it is divisible by the number (88) 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 869923853568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648858498560).

869923853568 is an abundant number, since it is smaller than the sum of its proper divisors (2427793143552).

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

869923853568 is a wasteful number, since it uses less digits than its factorization.

869923853568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420 (or 2393 counting only the distinct ones).

The product of its digits is 671846400, while the sum is 72.

The spelling of 869923853568 in words is "eight hundred sixty-nine billion, nine hundred twenty-three million, eight hundred fifty-three thousand, five hundred sixty-eight".