27850686468696 has 576 divisors, whose sum is σ = 98765313454080. Its totient is φ = 7287358337280.

The previous prime is 27850686468691. The next prime is 27850686468697. The reversal of 27850686468696 is 69686468605872.

27850686468696 is a `hidden beast` number, since 2 + 7 + 8 + 5 + 0 + 68 + 6 + 468 + 6 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27850686468691) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 157179111 + ... + 157356201.

It is an arithmetic number, because the mean of its divisors is an integer number (171467558080).

Almost surely, 2^{27850686468696} is an apocalyptic number.

27850686468696 is a gapful number since it is divisible by the number (26) 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 27850686468696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49382656727040).

27850686468696 is an abundant number, since it is smaller than the sum of its proper divisors (70914626985384).

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

27850686468696 is a wasteful number, since it uses less digits than its factorization.

27850686468696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177266 (or 177243 counting only the distinct ones).

The product of its (nonzero) digits is 10032906240, while the sum is 81.

It can be divided in two parts, 2785068 and 6468696, that added together give a square (9253764 = 3042²).

The spelling of 27850686468696 in words is "twenty-seven trillion, eight hundred fifty billion, six hundred eighty-six million, four hundred sixty-eight thousand, six hundred ninety-six".