27198789120 has 400 divisors, whose sum is σ = 100798972560. Its totient is φ = 7001358336.

The previous prime is 27198789119. The next prime is 27198789151. The reversal of 27198789120 is 2198789172.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6011179 + ... + 6015701.

Almost surely, 2^27198789120 is an apocalyptic number.

27198789120 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 27198789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50399486280).

27198789120 is an abundant number, since it is smaller than the sum of its proper divisors (73600183440).

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

27198789120 is an equidigital number, since it uses as much as digits as its factorization.

27198789120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4587 (or 4562 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 27198789120 in words is "twenty-seven billion, one hundred ninety-eight million, seven hundred eighty-nine thousand, one hundred twenty".