273853563166120 has 384 divisors, whose sum is σ = 727410114063360. Its totient is φ = 92508319088640.

The previous prime is 273853563166103. The next prime is 273853563166121. The reversal of 273853563166120 is 21661365358372.

It is not an unprimeable number, because it can be changed into a prime (273853563166121) 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, 55402296369 + ... + 55402301311.

It is an arithmetic number, because the mean of its divisors is an integer number (1894297172040).

Almost surely, 2^{273853563166120} is an apocalyptic number.

273853563166120 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 273853563166120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363705057031680).

273853563166120 is an abundant number, since it is smaller than the sum of its proper divisors (453556550897240).

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

273853563166120 is a wasteful number, since it uses less digits than its factorization.

273853563166120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6313 (or 6302 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 58.

The spelling of 273853563166120 in words is "two hundred seventy-three trillion, eight hundred fifty-three billion, five hundred sixty-three million, one hundred sixty-six thousand, one hundred twenty".