27802106145 has 64 divisors (see below), whose sum is σ = 53944289280. Its totient is φ = 13473547200.

The previous prime is 27802106141. The next prime is 27802106159. The reversal of 27802106145 is 54160120872.

27802106145 is a `hidden beast` number, since 27 + 8 + 0 + 2 + 10 + 614 + 5 = 666.

It is not a de Polignac number, because 27802106145 - 2² = 27802106141 is a prime.

It is a super-2 number, since 2×27802106145² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27802106141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5805442 + ... + 5810228.

It is an arithmetic number, because the mean of its divisors is an integer number (842879520).

Almost surely, 2^27802106145 is an apocalyptic number.

It is an amenable number.

27802106145 is a deficient number, since it is larger than the sum of its proper divisors (26142183135).

27802106145 is a wasteful number, since it uses less digits than its factorization.

27802106145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8723 (or 8717 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 27802106145 in words is "twenty-seven billion, eight hundred two million, one hundred six thousand, one hundred forty-five".