27657566480 has 20 divisors (see below), whose sum is σ = 64303842252. Its totient is φ = 11063026560.

The previous prime is 27657566479. The next prime is 27657566537. The reversal of 27657566480 is 8466575672.

It can be written as a sum of positive squares in 2 ways, for example, as 19635856384 + 8021710096 = 140128^2 + 89564^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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 an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 172859711 + ... + 172859870.

Almost surely, 2^27657566480 is an apocalyptic number.

27657566480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27657566480 is an abundant number, since it is smaller than the sum of its proper divisors (36646275772).

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

27657566480 is a wasteful number, since it uses less digits than its factorization.

27657566480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345719594 (or 345719588 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 56.

The spelling of 27657566480 in words is "twenty-seven billion, six hundred fifty-seven million, five hundred sixty-six thousand, four hundred eighty".