272493604909152 has 1152 divisors, whose sum is σ = 916633277521920. Its totient is φ = 78598840320000.

The previous prime is 272493604909111. The next prime is 272493604909171. The reversal of 272493604909152 is 251909406394272.

272493604909152 is a `hidden beast` number, since 2 + 7 + 2 + 4 + 9 + 3 + 6 + 0 + 490 + 91 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 272493604909152.

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 191 ways as a sum of consecutive naturals, for example, 119882799088 + ... + 119882801360.

It is an arithmetic number, because the mean of its divisors is an integer number (795688608960).

Almost surely, 2^{272493604909152} is an apocalyptic number.

272493604909152 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 272493604909152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458316638760960).

272493604909152 is an abundant number, since it is smaller than the sum of its proper divisors (644139672612768).

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

272493604909152 is a wasteful number, since it uses less digits than its factorization.

272493604909152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2937 (or 2912 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 272493604909152 in words is "two hundred seventy-two trillion, four hundred ninety-three billion, six hundred four million, nine hundred nine thousand, one hundred fifty-two".