27840083015680 has 96 divisors (see below), whose sum is σ = 71938339855200. Its totient is φ = 10279415218176.

The previous prime is 27840083015677. The next prime is 27840083015699. The reversal of 27840083015680 is 8651038004872.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104434500 + ... + 104700739.

It is an arithmetic number, because the mean of its divisors is an integer number (749357706825).

Almost surely, 2^{27840083015680} is an apocalyptic number.

27840083015680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27840083015680 is an abundant number, since it is smaller than the sum of its proper divisors (44098256839520).

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

27840083015680 is a wasteful number, since it uses less digits than its factorization.

27840083015680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209135279 (or 209135259 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 52.

The spelling of 27840083015680 in words is "twenty-seven trillion, eight hundred forty billion, eighty-three million, fifteen thousand, six hundred eighty".