853484427801600 has 1056 divisors, whose sum is σ = 3352420517068800. Its totient is φ = 187368377548800.

The previous prime is 853484427801517. The next prime is 853484427801653. The reversal of 853484427801600 is 6108724484358.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2977623091 + ... + 2977909709.

Almost surely, 2^{853484427801600} is an apocalyptic number.

853484427801600 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 853484427801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676210258534400).

853484427801600 is an abundant number, since it is smaller than the sum of its proper divisors (2498936089267200).

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

853484427801600 is a wasteful number, since it uses less digits than its factorization.

853484427801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286879 (or 286856 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 60.

The spelling of 853484427801600 in words is "eight hundred fifty-three trillion, four hundred eighty-four billion, four hundred twenty-seven million, eight hundred one thousand, six hundred".