853803804672 has 1152 divisors, whose sum is σ = 3335560300800. Its totient is φ = 211742097408.

The previous prime is 853803804661. The next prime is 853803804677. The reversal of 853803804672 is 276408308358.

853803804672 is a `hidden beast` number, since 8 + 538 + 0 + 38 + 0 + 4 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (853803804677) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 769885654 + ... + 769886762.

It is an arithmetic number, because the mean of its divisors is an integer number (2895451650).

Almost surely, 2^853803804672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 853803804672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667780150400).

853803804672 is an abundant number, since it is smaller than the sum of its proper divisors (2481756496128).

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

853803804672 is a wasteful number, since it uses less digits than its factorization.

853803804672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 853803804672 in words is "eight hundred fifty-three billion, eight hundred three million, eight hundred four thousand, six hundred seventy-two".