27807466470872 has 128 divisors (see below), whose sum is σ = 65580466752000. Its totient is φ = 10881499023360.

The previous prime is 27807466470841. The next prime is 27807466470977.

27807466470872 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (68) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16043108 + ... + 17691699.

It is an arithmetic number, because the mean of its divisors is an integer number (512347396500).

Almost surely, 2^{27807466470872} is an apocalyptic number.

27807466470872 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27807466470872 is an abundant number, since it is smaller than the sum of its proper divisors (37773000281128).

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

27807466470872 is a wasteful number, since it uses less digits than its factorization.

27807466470872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33734889 (or 33734885 counting only the distinct ones).

The product of its (nonzero) digits is 354041856, while the sum is 68.

The spelling of 27807466470872 in words is "twenty-seven trillion, eight hundred seven billion, four hundred sixty-six million, four hundred seventy thousand, eight hundred seventy-two".