272751316992 has 1248 divisors, whose sum is σ = 1048814956800. Its totient is φ = 67629219840.

The previous prime is 272751316979. The next prime is 272751317021. The reversal of 272751316992 is 299613157272.

272751316992 is a `hidden beast` number, since 2 + 7 + 27 + 513 + 16 + 9 + 92 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5146251238 + ... + 5146251290.

It is an arithmetic number, because the mean of its divisors is an integer number (840396600).

Almost surely, 2^272751316992 is an apocalyptic number.

272751316992 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 272751316992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524407478400).

272751316992 is an abundant number, since it is smaller than the sum of its proper divisors (776063639808).

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

272751316992 is a wasteful number, since it uses less digits than its factorization.

272751316992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 113 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The spelling of 272751316992 in words is "two hundred seventy-two billion, seven hundred fifty-one million, three hundred sixteen thousand, nine hundred ninety-two".