27686873760 has 1152 divisors, whose sum is σ = 118611247104. Its totient is φ = 5364817920.

The previous prime is 27686873743. The next prime is 27686873771. The reversal of 27686873760 is 6737868672.

27686873760 = 428² + 429² + ... + 4364².

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 27686873694 and 27686873703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 218006817 + ... + 218006943.

It is an arithmetic number, because the mean of its divisors is an integer number (102961152).

Almost surely, 2^27686873760 is an apocalyptic number.

27686873760 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 27686873760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59305623552).

27686873760 is an abundant number, since it is smaller than the sum of its proper divisors (90924373344).

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

27686873760 is a wasteful number, since it uses less digits than its factorization.

27686873760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 60.

The spelling of 27686873760 in words is "twenty-seven billion, six hundred eighty-six million, eight hundred seventy-three thousand, seven hundred sixty".