27861120000 has 660 divisors, whose sum is σ = 115055745376. Its totient is φ = 6359040000.

The previous prime is 27861119983. The next prime is 27861120037. The reversal of 27861120000 is 2116872.

27861120000 is a `hidden beast` number, since 27 + 8 + 611 + 20 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 40319655 + ... + 40320345.

Almost surely, 2^27861120000 is an apocalyptic number.

27861120000 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 27861120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57527872688).

27861120000 is an abundant number, since it is smaller than the sum of its proper divisors (87194625376).

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

27861120000 is an equidigital number, since it uses as much as digits as its factorization.

27861120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 708 counting only the distinct ones).

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

Adding to 27861120000 its reverse (2116872), we get a palindrome (27863236872).

The spelling of 27861120000 in words is "twenty-seven billion, eight hundred sixty-one million, one hundred twenty thousand".