869240008800 has 288 divisors, whose sum is σ = 3173140656000. Its totient is φ = 229630394880.

The previous prime is 869240008789. The next prime is 869240008801. The reversal of 869240008800 is 8800042968.

It is a happy number.

869240008800 is a `hidden beast` number, since 86 + 92 + 400 + 0 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (869240008801) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2123151 + ... + 2499249.

It is an arithmetic number, because the mean of its divisors is an integer number (11017849500).

Almost surely, 2^869240008800 is an apocalyptic number.

869240008800 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 869240008800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586570328000).

869240008800 is an abundant number, since it is smaller than the sum of its proper divisors (2303900647200).

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

869240008800 is a wasteful number, since it uses less digits than its factorization.

869240008800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376235 (or 376216 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 869240008800 in words is "eight hundred sixty-nine billion, two hundred forty million, eight thousand, eight hundred".