853393508352 has 1728 divisors, whose sum is σ = 3427279128000. Its totient is φ = 208461496320.

The previous prime is 853393508351. The next prime is 853393508399. The reversal of 853393508352 is 253805393358.

853393508352 is a `hidden beast` number, since 8 + 53 + 39 + 3 + 508 + 3 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 (853393508351) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6229149628 + ... + 6229149764.

It is an arithmetic number, because the mean of its divisors is an integer number (1983379125).

Almost surely, 2^853393508352 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 853393508352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713639564000).

853393508352 is an abundant number, since it is smaller than the sum of its proper divisors (2573885619648).

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

853393508352 is a wasteful number, since it uses less digits than its factorization.

853393508352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 853393508352 in words is "eight hundred fifty-three billion, three hundred ninety-three million, five hundred eight thousand, three hundred fifty-two".