855684432000 has 512 divisors, whose sum is σ = 3228710284800. Its totient is φ = 222612480000.

The previous prime is 855684431981. The next prime is 855684432007. The reversal of 855684432000 is 234486558.

855684432000 is a `hidden beast` number, since 85 + 568 + 4 + 4 + 3 + 2 + 0 + 0 + 0 = 666.

It is a super-4 number, since 4×855684432000⁴ (a number of 49 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (855684432007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17687845 + ... + 17736155.

It is an arithmetic number, because the mean of its divisors is an integer number (6306074775).

Almost surely, 2^855684432000 is an apocalyptic number.

855684432000 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 855684432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614355142400).

855684432000 is an abundant number, since it is smaller than the sum of its proper divisors (2373025852800).

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

855684432000 is a wasteful number, since it uses less digits than its factorization.

855684432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48390 (or 48362 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 855684432000 in words is "eight hundred fifty-five billion, six hundred eighty-four million, four hundred thirty-two thousand".