272598078400 has 84 divisors (see below), whose sum is σ = 692399245120. Its totient is φ = 105521817600.

The previous prime is 272598078391. The next prime is 272598078407. The reversal of 272598078400 is 4870895272.

It is a happy number.

272598078400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272598078407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2698365 + ... + 2797564.

Almost surely, 2^272598078400 is an apocalyptic number.

272598078400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272598078400 is an abundant number, since it is smaller than the sum of its proper divisors (419801166720).

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

272598078400 is a wasteful number, since it uses less digits than its factorization.

272598078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5495982 (or 5495967 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 52.

The spelling of 272598078400 in words is "two hundred seventy-two billion, five hundred ninety-eight million, seventy-eight thousand, four hundred".