27819000000 has 588 divisors, whose sum is σ = 109119384504. Its totient is φ = 6720000000.

The previous prime is 27818999987. The next prime is 27819000023. The reversal of 27819000000 is 91872.

It is a super-2 number, since 2×27819000000² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 98999860 + ... + 99000140.

Almost surely, 2^27819000000 is an apocalyptic number.

27819000000 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 27819000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54559692252).

27819000000 is an abundant number, since it is smaller than the sum of its proper divisors (81300384504).

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

27819000000 is an equidigital number, since it uses as much as digits as its factorization.

27819000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 27819000000 its reverse (91872), we get a palindrome (27819091872).

The spelling of 27819000000 in words is "twenty-seven billion, eight hundred nineteen million", and thus it is an aban number.