27917666112 has 336 divisors, whose sum is σ = 92399754240. Its totient is φ = 7393655808.

The previous prime is 27917666099. The next prime is 27917666113. The reversal of 27917666112 is 21166671972.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×27917666112² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27917666113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8399683 + ... + 8403005.

Almost surely, 2^27917666112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27917666112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46199877120).

27917666112 is an abundant number, since it is smaller than the sum of its proper divisors (64482088128).

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

27917666112 is a wasteful number, since it uses less digits than its factorization.

27917666112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3418 (or 3401 counting only the distinct ones).

The product of its digits is 381024, while the sum is 48.

The spelling of 27917666112 in words is "twenty-seven billion, nine hundred seventeen million, six hundred sixty-six thousand, one hundred twelve".