272628568400 has 30 divisors (see below), whose sum is σ = 654990136542. Its totient is φ = 109051427200.

The previous prime is 272628568397. The next prime is 272628568411. The reversal of 272628568400 is 4865826272.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 87800801344 + 184827767056 = 296312^2 + 429916^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 340785311 + ... + 340786110.

Almost surely, 2^272628568400 is an apocalyptic number.

272628568400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272628568400 is an abundant number, since it is smaller than the sum of its proper divisors (382361568142).

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

272628568400 is a wasteful number, since it uses less digits than its factorization.

272628568400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681571439 (or 681571428 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 50.

The spelling of 272628568400 in words is "two hundred seventy-two billion, six hundred twenty-eight million, five hundred sixty-eight thousand, four hundred".