27757666689840 has 120 divisors (see below), whose sum is σ = 93791396453040. Its totient is φ = 7356633103872.

The previous prime is 27757666689811. The next prime is 27757666689853. The reversal of 27757666689840 is 4898666675772.

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

It is a self number, because there is not a number n which added to its sum of digits gives 27757666689840.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118141275 + ... + 118375994.

It is an arithmetic number, because the mean of its divisors is an integer number (781594970442).

Almost surely, 2^{27757666689840} is an apocalyptic number.

27757666689840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27757666689840 is an abundant number, since it is smaller than the sum of its proper divisors (66033729763200).

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

27757666689840 is a wasteful number, since it uses less digits than its factorization.

27757666689840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236517451 (or 236517442 counting only the distinct ones).

The product of its (nonzero) digits is 10241925120, while the sum is 81.

The spelling of 27757666689840 in words is "twenty-seven trillion, seven hundred fifty-seven billion, six hundred sixty-six million, six hundred eighty-nine thousand, eight hundred forty".