273129528672 has 864 divisors, whose sum is σ = 1075731681024. Its totient is φ = 63930746880.

The previous prime is 273129528611. The next prime is 273129528697. The reversal of 273129528672 is 276825921372.

273129528672 is a `hidden beast` number, since 2 + 7 + 3 + 1 + 295 + 286 + 72 = 666.

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 143 ways as a sum of consecutive naturals, for example, 136359223 + ... + 136361225.

It is an arithmetic number, because the mean of its divisors is an integer number (1245059816).

Almost surely, 2^273129528672 is an apocalyptic number.

273129528672 is a gapful number since it is divisible by the number (22) 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 273129528672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537865840512).

273129528672 is an abundant number, since it is smaller than the sum of its proper divisors (802602152352).

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

273129528672 is a wasteful number, since it uses less digits than its factorization.

273129528672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104 (or 2082 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 273129528672 in words is "two hundred seventy-three billion, one hundred twenty-nine million, five hundred twenty-eight thousand, six hundred seventy-two".