853735107456 has 768 divisors, whose sum is σ = 3205781729280. Its totient is φ = 211606732800.

The previous prime is 853735107419. The next prime is 853735107457. The reversal of 853735107456 is 654701537358.

853735107456 is a `hidden beast` number, since 8 + 5 + 3 + 7 + 3 + 510 + 74 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (853735107457) by changing a digit.

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, 200735026 + ... + 200739278.

It is an arithmetic number, because the mean of its divisors is an integer number (4174194960).

Almost surely, 2^853735107456 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 853735107456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602890864640).

853735107456 is an abundant number, since it is smaller than the sum of its proper divisors (2352046621824).

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

853735107456 is a wasteful number, since it uses less digits than its factorization.

853735107456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4395 (or 4380 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

It can be divided in two parts, 853735 and 107456, that added together give a triangular number (961191 = T₁₃₈₆).

The spelling of 853735107456 in words is "eight hundred fifty-three billion, seven hundred thirty-five million, one hundred seven thousand, four hundred fifty-six".