254042853120 has 2016 divisors, whose sum is σ = 1158153292800. Its totient is φ = 52027785216.

The previous prime is 254042853083. The next prime is 254042853179. The reversal of 254042853120 is 21358240452.

254042853120 is a `hidden beast` number, since 2 + 540 + 4 + 2 + 85 + 31 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2854414036 + ... + 2854414124.

It is an arithmetic number, because the mean of its divisors is an integer number (574480800).

Almost surely, 2^254042853120 is an apocalyptic number.

254042853120 is a gapful number since it is divisible by the number (20) 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 254042853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579076646400).

254042853120 is an abundant number, since it is smaller than the sum of its proper divisors (904110439680).

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

254042853120 is an equidigital number, since it uses as much as digits as its factorization.

254042853120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 254042853120 in words is "two hundred fifty-four billion, forty-two million, eight hundred fifty-three thousand, one hundred twenty".