27217163990016 has 2112 divisors, whose sum is σ = 114677485977600. Its totient is φ = 5981523148800.

The previous prime is 27217163989991. The next prime is 27217163990017. The reversal of 27217163990016 is 61009936171272.

27217163990016 is a `hidden beast` number, since 2 + 72 + 171 + 6 + 399 + 0 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27217163990017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5433649720 + ... + 5433654728.

Almost surely, 2^{27217163990016} is an apocalyptic number.

27217163990016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27217163990016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57338742988800).

27217163990016 is an abundant number, since it is smaller than the sum of its proper divisors (87460321987584).

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

27217163990016 is a wasteful number, since it uses less digits than its factorization.

27217163990016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5116 (or 5095 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 27217163990016 in words is "twenty-seven trillion, two hundred seventeen billion, one hundred sixty-three million, nine hundred ninety thousand, sixteen".