855952304544 has 288 divisors, whose sum is σ = 2486483371008. Its totient is φ = 279259200000.

The previous prime is 855952304539. The next prime is 855952304551. The reversal of 855952304544 is 445403259558.

855952304544 is a `hidden beast` number, since 8 + 5 + 5 + 95 + 2 + 3 + 0 + 4 + 544 = 666.

855952304544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1985968009 + ... + 1985968439.

It is an arithmetic number, because the mean of its divisors is an integer number (8633622816).

Almost surely, 2^855952304544 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 855952304544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243241685504).

855952304544 is an abundant number, since it is smaller than the sum of its proper divisors (1630531066464).

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

855952304544 is a wasteful number, since it uses less digits than its factorization.

855952304544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 17280000, while the sum is 54.

The spelling of 855952304544 in words is "eight hundred fifty-five billion, nine hundred fifty-two million, three hundred four thousand, five hundred forty-four".