854010317952 has 1024 divisors, whose sum is σ = 2997550540800. Its totient is φ = 238460682240.

The previous prime is 854010317921. The next prime is 854010317981. The reversal of 854010317952 is 259713010458.

854010317952 is a `hidden beast` number, since 8 + 540 + 1 + 0 + 3 + 17 + 95 + 2 = 666.

854010317952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×854010317952² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 854010317898 and 854010317907.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5239327023 + ... + 5239327185.

It is an arithmetic number, because the mean of its divisors is an integer number (2927295450).

Almost surely, 2^854010317952 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 854010317952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498775270400).

854010317952 is an abundant number, since it is smaller than the sum of its proper divisors (2143540222848).

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

854010317952 is a wasteful number, since it uses less digits than its factorization.

854010317952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 854010317952 in words is "eight hundred fifty-four billion, ten million, three hundred seventeen thousand, nine hundred fifty-two".