273254520672 has 288 divisors, whose sum is σ = 901361260800. Its totient is φ = 76913224704.

The previous prime is 273254520653. The next prime is 273254520677. The reversal of 273254520672 is 276025452372.

273254520672 is a `hidden beast` number, since 2 + 7 + 3 + 2 + 54 + 520 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273254520677) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 39330703 + ... + 39337649.

It is an arithmetic number, because the mean of its divisors is an integer number (3129726600).

Almost surely, 2^273254520672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 273254520672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450680630400).

273254520672 is an abundant number, since it is smaller than the sum of its proper divisors (628106740128).

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

273254520672 is a wasteful number, since it uses less digits than its factorization.

273254520672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7258 (or 7247 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 273254520672 in words is "two hundred seventy-three billion, two hundred fifty-four million, five hundred twenty thousand, six hundred seventy-two".