869343552000 has 1920 divisors, whose sum is σ = 4137072496128. Its totient is φ = 169869312000.

The previous prime is 869343551959. The next prime is 869343552019. The reversal of 869343552000 is 255343968.

869343552000 is a `hidden beast` number, since 8 + 6 + 9 + 3 + 435 + 5 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×869343552000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 753983424 + ... + 753984576.

Almost surely, 2^869343552000 is an apocalyptic number.

869343552000 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 869343552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068536248064).

869343552000 is an abundant number, since it is smaller than the sum of its proper divisors (3267728944128).

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

869343552000 is a wasteful number, since it uses less digits than its factorization.

869343552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

Adding to 869343552000 its reverse (255343968), we get a palindrome (869598895968).

The spelling of 869343552000 in words is "eight hundred sixty-nine billion, three hundred forty-three million, five hundred fifty-two thousand".