854434001880 has 384 divisors, whose sum is σ = 2962137185280. Its totient is φ = 212856852480.

The previous prime is 854434001753. The next prime is 854434001887. The reversal of 854434001880 is 88100434458.

854434001880 is a `hidden beast` number, since 85 + 443 + 40 + 0 + 18 + 80 = 666.

854434001880 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (854434001887) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 598761727 + ... + 598763153.

It is an arithmetic number, because the mean of its divisors is an integer number (7713898920).

Almost surely, 2^854434001880 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 854434001880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481068592640).

854434001880 is an abundant number, since it is smaller than the sum of its proper divisors (2107703183400).

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

854434001880 is a wasteful number, since it uses less digits than its factorization.

854434001880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 854434001880 in words is "eight hundred fifty-four billion, four hundred thirty-four million, one thousand, eight hundred eighty".