854421384960 has 2160 divisors, whose sum is σ = 3757821070080. Its totient is φ = 185031475200.

The previous prime is 854421384937. The next prime is 854421384977. The reversal of 854421384960 is 69483124458.

854421384960 is a `hidden beast` number, since 8 + 5 + 442 + 138 + 4 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a junction number, because it is equal to n+sod(n) for n = 854421384897 and 854421384906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 27561980145 + ... + 27561980175.

Almost surely, 2^854421384960 is an apocalyptic number.

854421384960 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 854421384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878910535040).

854421384960 is an abundant number, since it is smaller than the sum of its proper divisors (2903399685120).

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

854421384960 is a wasteful number, since it uses less digits than its factorization.

854421384960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 854421384960 in words is "eight hundred fifty-four billion, four hundred twenty-one million, three hundred eighty-four thousand, nine hundred sixty".