27935642996160 has 112 divisors (see below), whose sum is σ = 88730065872000. Its totient is φ = 7446615614464.

The previous prime is 27935642996147. The next prime is 27935642996167. The reversal of 27935642996160 is 6169924653972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27935642996167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3165810 + ... + 8117489.

It is an arithmetic number, because the mean of its divisors is an integer number (792232731000).

Almost surely, 2^{27935642996160} is an apocalyptic number.

27935642996160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27935642996160 is an abundant number, since it is smaller than the sum of its proper divisors (60794422875840).

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

27935642996160 is a wasteful number, since it uses less digits than its factorization.

27935642996160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11285898 (or 11285888 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 69.

The spelling of 27935642996160 in words is "twenty-seven trillion, nine hundred thirty-five billion, six hundred forty-two million, nine hundred ninety-six thousand, one hundred sixty".