27770607406460 has 24 divisors (see below), whose sum is σ = 59674514521776. Its totient is φ = 10849911730560.

The previous prime is 27770607406441. The next prime is 27770607406543. The reversal of 27770607406460 is 6460470607772.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 27770607406396 and 27770607406405.

It is a congruent number.

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, 16145701121 + ... + 16145702840.

It is an arithmetic number, because the mean of its divisors is an integer number (2486438105074).

Almost surely, 2^{27770607406460} is an apocalyptic number.

27770607406460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27770607406460 is an abundant number, since it is smaller than the sum of its proper divisors (31903907115316).

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

27770607406460 is a wasteful number, since it uses less digits than its factorization.

27770607406460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32291404013 (or 32291404011 counting only the distinct ones).

The product of its (nonzero) digits is 16595712, while the sum is 56.

The spelling of 27770607406460 in words is "twenty-seven trillion, seven hundred seventy billion, six hundred seven million, four hundred six thousand, four hundred sixty".