272947955105280 has 1280 divisors, whose sum is σ = 1102864212172800. Its totient is φ = 57221082906624.

The previous prime is 272947955105201. The next prime is 272947955105291. The reversal of 272947955105280 is 82501559749272.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5376458457 + ... + 5376509223.

It is an arithmetic number, because the mean of its divisors is an integer number (861612665760).

Almost surely, 2^{272947955105280} is an apocalyptic number.

272947955105280 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 272947955105280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551432106086400).

272947955105280 is an abundant number, since it is smaller than the sum of its proper divisors (829916257067520).

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

272947955105280 is a wasteful number, since it uses less digits than its factorization.

272947955105280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50984 (or 50954 counting only the distinct ones).

The product of its (nonzero) digits is 127008000, while the sum is 66.

The spelling of 272947955105280 in words is "two hundred seventy-two trillion, nine hundred forty-seven billion, nine hundred fifty-five million, one hundred five thousand, two hundred eighty".