853804673568 has 576 divisors, whose sum is σ = 3087855074304. Its totient is φ = 217361664000.

The previous prime is 853804673531. The next prime is 853804673573. The reversal of 853804673568 is 865376408358.

It is a happy number.

853804673568 is a `hidden beast` number, since 8 + 5 + 3 + 8 + 0 + 4 + 67 + 3 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 241117878 + ... + 241121418.

It is an arithmetic number, because the mean of its divisors is an integer number (5360859504).

Almost surely, 2^853804673568 is an apocalyptic number.

853804673568 is a gapful number since it is divisible by the number (88) 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 853804673568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543927537152).

853804673568 is an abundant number, since it is smaller than the sum of its proper divisors (2234050400736).

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

853804673568 is a wasteful number, since it uses less digits than its factorization.

853804673568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3789 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 853804673568 in words is "eight hundred fifty-three billion, eight hundred four million, six hundred seventy-three thousand, five hundred sixty-eight".