27677316150 has 432 divisors, whose sum is σ = 88914309120. Its totient is φ = 6144336000.

The previous prime is 27677316143. The next prime is 27677316151. The reversal of 27677316150 is 5161377672.

27677316150 is a `hidden beast` number, since 27 + 6 + 7 + 7 + 3 + 1 + 615 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 27677316096 and 27677316105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27677316151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 32070619 + ... + 32071481.

It is an arithmetic number, because the mean of its divisors is an integer number (205820160).

Almost surely, 2^27677316150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27677316150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44457154560).

27677316150 is an abundant number, since it is smaller than the sum of its proper divisors (61236992970).

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

27677316150 is a wasteful number, since it uses less digits than its factorization.

27677316150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 27677316150 in words is "twenty-seven billion, six hundred seventy-seven million, three hundred sixteen thousand, one hundred fifty".