27677326468050 has 288 divisors, whose sum is σ = 89926461480960. Its totient is φ = 5965962710400.

The previous prime is 27677326468039. The next prime is 27677326468097. The reversal of 27677326468050 is 5086462377672.

27677326468050 is a `hidden beast` number, since 2 + 76 + 77 + 32 + 6 + 468 + 0 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2453671 + ... + 7834229.

It is an arithmetic number, because the mean of its divisors is an integer number (312244657920).

Almost surely, 2^{27677326468050} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27677326468050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44963230740480).

27677326468050 is an abundant number, since it is smaller than the sum of its proper divisors (62249135012910).

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

27677326468050 is a wasteful number, since it uses less digits than its factorization.

27677326468050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5380678 (or 5380670 counting only the distinct ones).

The product of its (nonzero) digits is 142248960, while the sum is 63.

The spelling of 27677326468050 in words is "twenty-seven trillion, six hundred seventy-seven billion, three hundred twenty-six million, four hundred sixty-eight thousand, fifty".