27846155164872 has 64 divisors (see below), whose sum is σ = 77231247033600. Its totient is φ = 8295208005440.

The previous prime is 27846155164871. The next prime is 27846155164873.

27846155164872 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (27846155164871) and next prime (27846155164873).

It is a super-2 number, since 2×27846155164872² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (27846155164871) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 893864598 + ... + 893895749.

It is an arithmetic number, because the mean of its divisors is an integer number (1206738234900).

Almost surely, 2^{27846155164872} is an apocalyptic number.

27846155164872 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27846155164872 is an abundant number, since it is smaller than the sum of its proper divisors (49385091868728).

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

27846155164872 is a wasteful number, since it uses less digits than its factorization.

27846155164872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787760426 (or 1787760422 counting only the distinct ones).

The product of its digits is 180633600, while the sum is 66.

The spelling of 27846155164872 in words is "twenty-seven trillion, eight hundred forty-six billion, one hundred fifty-five million, one hundred sixty-four thousand, eight hundred seventy-two".