869213190033600 has 336 divisors, whose sum is σ = 2880490490976000. Its totient is φ = 229463190097920.

The previous prime is 869213190033509. The next prime is 869213190033607. The reversal of 869213190033600 is 6330091312968.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (869213190033607) 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 47 ways as a sum of consecutive naturals, for example, 230986357 + ... + 234719243.

It is an arithmetic number, because the mean of its divisors is an integer number (8572888366000).

Almost surely, 2^{869213190033600} is an apocalyptic number.

869213190033600 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 869213190033600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440245245488000).

869213190033600 is an abundant number, since it is smaller than the sum of its proper divisors (2011277300942400).

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

869213190033600 is a wasteful number, since it uses less digits than its factorization.

869213190033600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3733400 (or 3733385 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 51.

The spelling of 869213190033600 in words is "eight hundred sixty-nine trillion, two hundred thirteen billion, one hundred ninety million, thirty-three thousand, six hundred".