27115766496000 has 2304 divisors, whose sum is σ = 130417314693120. Its totient is φ = 5384326348800.

The previous prime is 27115766495989. The next prime is 27115766496001. The reversal of 27115766496000 is 69466751172.

27115766496000 is a `hidden beast` number, since 2 + 7 + 1 + 1 + 576 + 6 + 4 + 9 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×27115766496000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (27115766496001) 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 255 ways as a sum of consecutive naturals, for example, 1336597857 + ... + 1336618143.

It is an arithmetic number, because the mean of its divisors is an integer number (56604737280).

Almost surely, 2^{27115766496000} is an apocalyptic number.

27115766496000 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 27115766496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65208657346560).

27115766496000 is an abundant number, since it is smaller than the sum of its proper divisors (103301548197120).

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

27115766496000 is a wasteful number, since it uses less digits than its factorization.

27115766496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20364 (or 20334 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 27115766496000 in words is "twenty-seven trillion, one hundred fifteen billion, seven hundred sixty-six million, four hundred ninety-six thousand".