27627639012780 has 24 divisors (see below), whose sum is σ = 77357389235952. Its totient is φ = 7367370403392.

The previous prime is 27627639012739. The next prime is 27627639012821. The reversal of 27627639012780 is 8721093672672.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27627639012739) and next prime (27627639012821).

It is a Harshad number since it is a multiple of its sum of digits (60), and also a Moran number because the ratio is a prime number: 460460650213 = 27627639012780 / (2 + 7 + 6 + 2 + 7 + 6 + 3 + 9 + 0 + 1 + 2 + 7 + 8 + 0).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230230325047 + ... + 230230325166.

It is an arithmetic number, because the mean of its divisors is an integer number (3223224551498).

Almost surely, 2^{27627639012780} is an apocalyptic number.

27627639012780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27627639012780 is an abundant number, since it is smaller than the sum of its proper divisors (49729750223172).

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

27627639012780 is a wasteful number, since it uses less digits than its factorization.

27627639012780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460460650225 (or 460460650223 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 60.

The spelling of 27627639012780 in words is "twenty-seven trillion, six hundred twenty-seven billion, six hundred thirty-nine million, twelve thousand, seven hundred eighty".