272487761280 has 1920 divisors, whose sum is σ = 1243489384800. Its totient is φ = 54623600640.

The previous prime is 272487761279. The next prime is 272487761323. The reversal of 272487761280 is 82167784272.

272487761280 is a `hidden beast` number, since 2 + 7 + 2 + 487 + 76 + 12 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4467012450 + ... + 4467012510.

Almost surely, 2^272487761280 is an apocalyptic number.

272487761280 is a gapful number since it is divisible by the number (20) 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 272487761280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621744692400).

272487761280 is an abundant number, since it is smaller than the sum of its proper divisors (971001623520).

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

272487761280 is a wasteful number, since it uses less digits than its factorization.

272487761280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 272487761280 in words is "two hundred seventy-two billion, four hundred eighty-seven million, seven hundred sixty-one thousand, two hundred eighty".