27612400274000 has 40 divisors (see below), whose sum is σ = 66766783867368. Its totient is φ = 11044960108800.

The previous prime is 27612400273987. The next prime is 27612400274083. The reversal of 27612400274000 is 47200421672.

It can be written as a sum of positive squares in 4 ways, for example, as 48094244416 + 27564306029584 = 219304^2 + 5250172^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 6903098069 + ... + 6903102068.

Almost surely, 2^{27612400274000} is an apocalyptic number.

27612400274000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27612400274000 is an abundant number, since it is smaller than the sum of its proper divisors (39154383593368).

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

27612400274000 is a wasteful number, since it uses less digits than its factorization.

27612400274000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13806200160 (or 13806200144 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 35.

Adding to 27612400274000 its reverse (47200421672), we get a palindrome (27659600695672).

The spelling of 27612400274000 in words is "twenty-seven trillion, six hundred twelve billion, four hundred million, two hundred seventy-four thousand".