27016638480000 has 640 divisors, whose sum is σ = 107303503137600. Its totient is φ = 6650242560000.

The previous prime is 27016638479921. The next prime is 27016638480001. The reversal of 27016638480000 is 8483661072.

27016638480000 is a `hidden beast` number, since 2 + 7 + 0 + 1 + 6 + 638 + 4 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (27016638480001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27598935 + ... + 28561065.

Almost surely, 2^{27016638480000} is an apocalyptic number.

27016638480000 is a gapful number since it is divisible by the number (20) 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 27016638480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53651751568800).

27016638480000 is an abundant number, since it is smaller than the sum of its proper divisors (80286864657600).

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

27016638480000 is an equidigital number, since it uses as much as digits as its factorization.

27016638480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962187 (or 962154 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 27016638480000 in words is "twenty-seven trillion, sixteen billion, six hundred thirty-eight million, four hundred eighty thousand".