27957807360 has 216 divisors, whose sum is σ = 110550148800. Its totient is φ = 6390337536.

The previous prime is 27957807349. The next prime is 27957807373. The reversal of 27957807360 is 6370875972.

27957807360 is a `hidden beast` number, since 2 + 7 + 9 + 578 + 0 + 7 + 3 + 60 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 27957807297 and 27957807306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92710 + ... + 253989.

Almost surely, 2^27957807360 is an apocalyptic number.

27957807360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27957807360 is an abundant number, since it is smaller than the sum of its proper divisors (82592341440).

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

27957807360 is a wasteful number, since it uses less digits than its factorization.

27957807360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346733 (or 346716 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 27957807360 in words is "twenty-seven billion, nine hundred fifty-seven million, eight hundred seven thousand, three hundred sixty".