272253284352 has 832 divisors, whose sum is σ = 973169433600. Its totient is φ = 73574645760.

The previous prime is 272253284293. The next prime is 272253284353. The reversal of 272253284352 is 253482352272.

272253284352 is a `hidden beast` number, since 2 + 7 + 2 + 2 + 532 + 84 + 35 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 272253284298 and 272253284307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272253284353) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1504161702 + ... + 1504161882.

It is an arithmetic number, because the mean of its divisors is an integer number (1169674800).

Almost surely, 2^272253284352 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 272253284352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486584716800).

272253284352 is an abundant number, since it is smaller than the sum of its proper divisors (700916149248).

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

272253284352 is a wasteful number, since it uses less digits than its factorization.

272253284352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 289 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 45.

The spelling of 272253284352 in words is "two hundred seventy-two billion, two hundred fifty-three million, two hundred eighty-four thousand, three hundred fifty-two".