27046894513626 has 320 divisors, whose sum is σ = 66850455893760. Its totient is φ = 8123294822400.

The previous prime is 27046894513621. The next prime is 27046894513747. The reversal of 27046894513626 is 62631549864072.

27046894513626 is a `hidden beast` number, since 2 + 7 + 0 + 4 + 6 + 8 + 94 + 513 + 6 + 26 = 666.

It is not an unprimeable number, because it can be changed into a prime (27046894513621) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5054546851 + ... + 5054552201.

It is an arithmetic number, because the mean of its divisors is an integer number (208907674668).

It is a 1-persistent number, because it is pandigital, but 2⋅27046894513626 = 54093789027252 is not.

Almost surely, 2^{27046894513626} is an apocalyptic number.

27046894513626 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 27046894513626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33425227946880).

27046894513626 is an abundant number, since it is smaller than the sum of its proper divisors (39803561380134).

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

27046894513626 is a wasteful number, since it uses less digits than its factorization.

27046894513626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5811 (or 5802 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 27046894513626 in words is "twenty-seven trillion, forty-six billion, eight hundred ninety-four million, five hundred thirteen thousand, six hundred twenty-six".