272807164448 has 144 divisors (see below), whose sum is σ = 673615293120. Its totient is φ = 107798874624.

The previous prime is 272807164411. The next prime is 272807164489. The reversal of 272807164448 is 844461708272.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 272807164448.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18725615 + ... + 18740177.

It is an arithmetic number, because the mean of its divisors is an integer number (4677883980).

Almost surely, 2^272807164448 is an apocalyptic number.

272807164448 is a gapful number since it is divisible by the number (28) 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 272807164448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336807646560).

272807164448 is an abundant number, since it is smaller than the sum of its proper divisors (400808128672).

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

272807164448 is a wasteful number, since it uses less digits than its factorization.

272807164448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15519 (or 15504 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 53.

The spelling of 272807164448 in words is "two hundred seventy-two billion, eight hundred seven million, one hundred sixty-four thousand, four hundred forty-eight".