27645017130 has 96 divisors (see below), whose sum is σ = 72779316480. Its totient is φ = 7279683840.

The previous prime is 27645017129. The next prime is 27645017131. The reversal of 27645017130 is 3171054672.

It is a happy number.

27645017130 is a `hidden beast` number, since 2 + 7 + 6 + 450 + 171 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (27645017129) and next prime (27645017131).

It is not an unprimeable number, because it can be changed into a prime (27645017131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7872075 + ... + 7875585.

It is an arithmetic number, because the mean of its divisors is an integer number (758117880).

Almost surely, 2^27645017130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27645017130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36389658240).

27645017130 is an abundant number, since it is smaller than the sum of its proper divisors (45134299350).

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

27645017130 is a wasteful number, since it uses less digits than its factorization.

27645017130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4596 (or 4593 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 27645017130 in words is "twenty-seven billion, six hundred forty-five million, seventeen thousand, one hundred thirty".