854585720352 has 1152 divisors, whose sum is σ = 3458072217600. Its totient is φ = 200908947456.

The previous prime is 854585720311. The next prime is 854585720363. The reversal of 854585720352 is 253027585458.

It is a happy number.

854585720352 is a `hidden beast` number, since 8 + 5 + 4 + 585 + 7 + 2 + 0 + 3 + 52 = 666.

854585720352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 228558099 + ... + 228561837.

It is an arithmetic number, because the mean of its divisors is an integer number (3001798800).

Almost surely, 2^854585720352 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 854585720352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729036108800).

854585720352 is an abundant number, since it is smaller than the sum of its proper divisors (2603486497248).

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

854585720352 is a wasteful number, since it uses less digits than its factorization.

854585720352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3820 (or 3800 counting only the distinct ones).

The product of its (nonzero) digits is 13440000, while the sum is 54.

The spelling of 854585720352 in words is "eight hundred fifty-four billion, five hundred eighty-five million, seven hundred twenty thousand, three hundred fifty-two".