27256272267200 has 84 divisors (see below), whose sum is σ = 67758882497712. Its totient is φ = 10790111846400.

The previous prime is 27256272267199. The next prime is 27256272267247. The reversal of 27256272267200 is 276227265272.

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 (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87654956 + ... + 87965355.

It is an arithmetic number, because the mean of its divisors is an integer number (806653363068).

Almost surely, 2^{27256272267200} is an apocalyptic number.

27256272267200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27256272267200 is an abundant number, since it is smaller than the sum of its proper divisors (40502610230512).

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

27256272267200 is a wasteful number, since it uses less digits than its factorization.

27256272267200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175620430 (or 175620415 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 50.

The spelling of 27256272267200 in words is "twenty-seven trillion, two hundred fifty-six billion, two hundred seventy-two million, two hundred sixty-seven thousand, two hundred".