272838820800 has 2016 divisors, whose sum is σ = 1235075325120. Its totient is φ = 52022476800.

The previous prime is 272838820799. The next prime is 272838820811. The reversal of 272838820800 is 8028838272.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 272838820800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1507396710 + ... + 1507396890.

It is an arithmetic number, because the mean of its divisors is an integer number (612636570).

Almost surely, 2^272838820800 is an apocalyptic number.

272838820800 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 272838820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617537662560).

272838820800 is an abundant number, since it is smaller than the sum of its proper divisors (962236504320).

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

272838820800 is a wasteful number, since it uses less digits than its factorization.

272838820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The spelling of 272838820800 in words is "two hundred seventy-two billion, eight hundred thirty-eight million, eight hundred twenty thousand, eight hundred".