27286148106 has 160 divisors (see below), whose sum is σ = 72801653760. Its totient is φ = 7474291200.

The previous prime is 27286148089. The next prime is 27286148107. The reversal of 27286148106 is 60184168272.

27286148106 is a `hidden beast` number, since 2 + 7 + 28 + 614 + 8 + 1 + 0 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (27286148107) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3828226 + ... + 3835346.

It is an arithmetic number, because the mean of its divisors is an integer number (455010336).

Almost surely, 2^27286148106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27286148106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36400826880).

27286148106 is an abundant number, since it is smaller than the sum of its proper divisors (45515505654).

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

27286148106 is a wasteful number, since it uses less digits than its factorization.

27286148106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7282 (or 7273 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 27286148106 in words is "twenty-seven billion, two hundred eighty-six million, one hundred forty-eight thousand, one hundred six".