273804165120 has 248 divisors, whose sum is σ = 927712935504. Its totient is φ = 68719476736.

The previous prime is 273804165101. The next prime is 273804165149. The reversal of 273804165120 is 21561408372.

It is a super-2 number, since 2×273804165120² (a number of 24 digits) contains 22 as substring.

It is a nialpdrome in base 2 and base 4.

It is a zygodrome in base 2 and base 4.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 8704 × 7680 × 4096.

It is a congruent number.

It is an unprimeable number.

In principle, a polygon with 273804165120 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16106127352 + ... + 16106127368.

Almost surely, 2^273804165120 is an apocalyptic number.

273804165120 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 273804165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463856467752).

273804165120 is an abundant number, since it is smaller than the sum of its proper divisors (653908770384).

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

273804165120 is an frugal number, since it uses more digits than its factorization.

273804165120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 273804165120 in words is "two hundred seventy-three billion, eight hundred four million, one hundred sixty-five thousand, one hundred twenty".