273104581120 has 480 divisors, whose sum is σ = 816771973248. Its totient is φ = 87009656832.

The previous prime is 273104581097. The next prime is 273104581133. The reversal of 273104581120 is 21185401372.

It is a super-2 number, since 2×273104581120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176995069 + ... + 176996611.

Almost surely, 2^273104581120 is an apocalyptic number.

273104581120 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 273104581120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408385986624).

273104581120 is an abundant number, since it is smaller than the sum of its proper divisors (543667392128).

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

273104581120 is a wasteful number, since it uses less digits than its factorization.

273104581120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

Adding to 273104581120 its reverse (21185401372), we get a palindrome (294289982492).

The spelling of 273104581120 in words is "two hundred seventy-three billion, one hundred four million, five hundred eighty-one thousand, one hundred twenty".