27891198720 has 1152 divisors, whose sum is σ = 126588026880. Its totient is φ = 5646827520.

The previous prime is 27891198703. The next prime is 27891198743. The reversal of 27891198720 is 2789119872.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 125072529 + ... + 125072751.

It is an arithmetic number, because the mean of its divisors is an integer number (109885440).

Almost surely, 2^27891198720 is an apocalyptic number.

27891198720 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 27891198720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63294013440).

27891198720 is an abundant number, since it is smaller than the sum of its proper divisors (98696828160).

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

27891198720 is a wasteful number, since it uses less digits than its factorization.

27891198720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 298 counting only the distinct ones).

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

The spelling of 27891198720 in words is "twenty-seven billion, eight hundred ninety-one million, one hundred ninety-eight thousand, seven hundred twenty".