27687253160 has 64 divisors (see below), whose sum is σ = 71348584320. Its totient is φ = 9472400640.

The previous prime is 27687253157. The next prime is 27687253163. The reversal of 27687253160 is 6135278672.

It is an interprime number because it is at equal distance from previous prime (27687253157) and next prime (27687253163).

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (27687253163) 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 15 ways as a sum of consecutive naturals, for example, 24890 + ... + 236630.

It is an arithmetic number, because the mean of its divisors is an integer number (1114821630).

Almost surely, 2^27687253160 is an apocalyptic number.

27687253160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27687253160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35674292160).

27687253160 is an abundant number, since it is smaller than the sum of its proper divisors (43661331160).

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

27687253160 is a wasteful number, since it uses less digits than its factorization.

27687253160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212226 (or 212222 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 47.

The spelling of 27687253160 in words is "twenty-seven billion, six hundred eighty-seven million, two hundred fifty-three thousand, one hundred sixty".