27666313956720 has 120 divisors (see below), whose sum is σ = 93097422696096. Its totient is φ = 7363016262144.

The previous prime is 27666313956653. The next prime is 27666313956763. The reversal of 27666313956720 is 2765931366672.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 37834099 + ... + 38558418.

Almost surely, 2^{27666313956720} is an apocalyptic number.

27666313956720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27666313956720 is an abundant number, since it is smaller than the sum of its proper divisors (65431108739376).

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

27666313956720 is a wasteful number, since it uses less digits than its factorization.

27666313956720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76393039 (or 76393030 counting only the distinct ones).

The product of its (nonzero) digits is 102876480, while the sum is 63.

The spelling of 27666313956720 in words is "twenty-seven trillion, six hundred sixty-six billion, three hundred thirteen million, nine hundred fifty-six thousand, seven hundred twenty".