27890872712064 has 256 divisors, whose sum is σ = 86737624128000. Its totient is φ = 8798663688192.

The previous prime is 27890872712051. The next prime is 27890872712069. The reversal of 27890872712064 is 46021727809872.

27890872712064 is a `hidden beast` number, since 2 + 7 + 89 + 0 + 87 + 271 + 206 + 4 = 666.

It is a super-2 number, since 2×27890872712064² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27890872711992 and 27890872712010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27890872712069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64331664 + ... + 64763760.

It is an arithmetic number, because the mean of its divisors is an integer number (338818844250).

Almost surely, 2^{27890872712064} is an apocalyptic number.

27890872712064 is a gapful number since it is divisible by the number (24) 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 27890872712064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43368812064000).

27890872712064 is an abundant number, since it is smaller than the sum of its proper divisors (58846751415936).

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

27890872712064 is a wasteful number, since it uses less digits than its factorization.

27890872712064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433122 (or 433104 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

The spelling of 27890872712064 in words is "twenty-seven trillion, eight hundred ninety billion, eight hundred seventy-two million, seven hundred twelve thousand, sixty-four".