273232928781120 has 448 divisors, whose sum is σ = 1081618397908992. Its totient is φ = 56773478400000.

The previous prime is 273232928781047. The next prime is 273232928781133. The reversal of 273232928781120 is 21187829232372.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2506646620 + ... + 2506755620.

Almost surely, 2^{273232928781120} is an apocalyptic number.

273232928781120 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 273232928781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540809198954496).

273232928781120 is an abundant number, since it is smaller than the sum of its proper divisors (808385469127872).

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

273232928781120 is a wasteful number, since it uses less digits than its factorization.

273232928781120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142950 (or 142940 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The spelling of 273232928781120 in words is "two hundred seventy-three trillion, two hundred thirty-two billion, nine hundred twenty-eight million, seven hundred eighty-one thousand, one hundred twenty".