853696964800 has 168 divisors, whose sum is σ = 2237834894400. Its totient is φ = 319607608320.

The previous prime is 853696964719. The next prime is 853696964801. The reversal of 853696964800 is 8469696358.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (853696964801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2354031 + ... + 2692369.

It is an arithmetic number, because the mean of its divisors is an integer number (13320445800).

Almost surely, 2^853696964800 is an apocalyptic number.

853696964800 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 853696964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118917447200).

853696964800 is an abundant number, since it is smaller than the sum of its proper divisors (1384137929600).

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

853696964800 is a wasteful number, since it uses less digits than its factorization.

853696964800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338463 (or 338448 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 64.

The spelling of 853696964800 in words is "eight hundred fifty-three billion, six hundred ninety-six million, nine hundred sixty-four thousand, eight hundred".