27862409106 has 96 divisors (see below), whose sum is σ = 72127800000. Its totient is φ = 7949358144.

The previous prime is 27862409089. The next prime is 27862409111. The reversal of 27862409106 is 60190426872.

It is a happy number.

27862409106 is a `hidden beast` number, since 2 + 7 + 8 + 624 + 0 + 9 + 10 + 6 = 666.

It is a super-2 number, since 2×27862409106² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1948270 + ... + 1962518.

It is an arithmetic number, because the mean of its divisors is an integer number (751331250).

Almost surely, 2^27862409106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27862409106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36063900000).

27862409106 is an abundant number, since it is smaller than the sum of its proper divisors (44265390894).

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

27862409106 is a wasteful number, since it uses less digits than its factorization.

27862409106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15013 (or 15000 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 27862409106 in words is "twenty-seven billion, eight hundred sixty-two million, four hundred nine thousand, one hundred six".