272260800000 has 1440 divisors, whose sum is σ = 1168574831424. Its totient is φ = 59719680000.

The previous prime is 272260799989. The next prime is 272260800041. The reversal of 272260800000 is 8062272.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3729599964 + ... + 3729600036.

Almost surely, 2^272260800000 is an apocalyptic number.

272260800000 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 272260800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584287415712).

272260800000 is an abundant number, since it is smaller than the sum of its proper divisors (896314031424).

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

272260800000 is an frugal number, since it uses more digits than its factorization.

272260800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 272260800000 its reverse (8062272), we get a palindrome (272268862272).

The spelling of 272260800000 in words is "two hundred seventy-two billion, two hundred sixty million, eight hundred thousand".