853261516800 has 1920 divisors, whose sum is σ = 3964613748480. Its totient is φ = 176239411200.

The previous prime is 853261516799. The next prime is 853261516823. The reversal of 853261516800 is 8615162358.

853261516800 is a `hidden beast` number, since 8 + 53 + 2 + 6 + 1 + 516 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5109350317 + ... + 5109350483.

It is an arithmetic number, because the mean of its divisors is an integer number (2064902994).

Almost surely, 2^853261516800 is an apocalyptic number.

853261516800 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 853261516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982306874240).

853261516800 is an abundant number, since it is smaller than the sum of its proper divisors (3111352231680).

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

853261516800 is a wasteful number, since it uses less digits than its factorization.

853261516800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 853261516800 in words is "eight hundred fifty-three billion, two hundred sixty-one million, five hundred sixteen thousand, eight hundred".