27388006560 has 144 divisors (see below), whose sum is σ = 95741329320. Its totient is φ = 7125319680.

The previous prime is 27388006537. The next prime is 27388006567. The reversal of 27388006560 is 6560088372.

27388006560 is a `hidden beast` number, since 2 + 7 + 3 + 8 + 80 + 0 + 6 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15963817104 + 11424189456 = 126348^2 + 106884^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (27388006567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172905 + ... + 290984.

Almost surely, 2^27388006560 is an apocalyptic number.

27388006560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27388006560 is an abundant number, since it is smaller than the sum of its proper divisors (68353322760).

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

27388006560 is a wasteful number, since it uses less digits than its factorization.

27388006560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463951 (or 463940 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 27388006560 in words is "twenty-seven billion, three hundred eighty-eight million, six thousand, five hundred sixty".