27915420368768 has 256 divisors, whose sum is σ = 59770524672000. Its totient is φ = 12940856524800.

The previous prime is 27915420368723. The next prime is 27915420368779. The reversal of 27915420368768 is 86786302451972.

It is a super-2 number, since 2×27915420368768² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is a junction number, because it is equal to n+sod(n) for n = 27915420368698 and 27915420368707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30375865013 + ... + 30375865931.

It is an arithmetic number, because the mean of its divisors is an integer number (233478612000).

It is a 1-persistent number, because it is pandigital, but 2⋅27915420368768 = 55830840737536 is not.

Almost surely, 2^{27915420368768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27915420368768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29885262336000).

27915420368768 is an abundant number, since it is smaller than the sum of its proper divisors (31855104303232).

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

27915420368768 is a wasteful number, since it uses less digits than its factorization.

27915420368768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 68.

The spelling of 27915420368768 in words is "twenty-seven trillion, nine hundred fifteen billion, four hundred twenty million, three hundred sixty-eight thousand, seven hundred sixty-eight".