272763013720008 has 128 divisors (see below), whose sum is σ = 800542309950720. Its totient is φ = 75811172659200.

The previous prime is 272763013719883. The next prime is 272763013720019. The reversal of 272763013720008 is 800027310367272.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27491308 + ... + 36073508.

It is an arithmetic number, because the mean of its divisors is an integer number (6254236796490).

Almost surely, 2^{272763013720008} is an apocalyptic number.

272763013720008 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 272763013720008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400271154975360).

272763013720008 is an abundant number, since it is smaller than the sum of its proper divisors (527779296230712).

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

272763013720008 is a wasteful number, since it uses less digits than its factorization.

272763013720008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8587367 (or 8587363 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 48.

The spelling of 272763013720008 in words is "two hundred seventy-two trillion, seven hundred sixty-three billion, thirteen million, seven hundred twenty thousand, eight".