27860112000 has 1280 divisors, whose sum is σ = 122914471680. Its totient is φ = 6121267200.

The previous prime is 27860111999. The next prime is 27860112001. The reversal of 27860112000 is 21106872.

It is an interprime number because it is at equal distance from previous prime (27860111999) and next prime (27860112001).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (27860112001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 335663959 + ... + 335664041.

It is an arithmetic number, because the mean of its divisors is an integer number (96026931).

Almost surely, 2^27860112000 is an apocalyptic number.

27860112000 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 27860112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61457235840).

27860112000 is an abundant number, since it is smaller than the sum of its proper divisors (95054359680).

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

27860112000 is an equidigital number, since it uses as much as digits as its factorization.

27860112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 27860112000 its reverse (21106872), we get a palindrome (27881218872).

The spelling of 27860112000 in words is "twenty-seven billion, eight hundred sixty million, one hundred twelve thousand".