27189720768 has 224 divisors, whose sum is σ = 83176164864. Its totient is φ = 7678476288.

The previous prime is 27189720749. The next prime is 27189720781. The reversal of 27189720768 is 86702798172.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78356371 + ... + 78356717.

Almost surely, 2^27189720768 is an apocalyptic number.

27189720768 is a gapful number since it is divisible by the number (28) 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 27189720768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41588082432).

27189720768 is an abundant number, since it is smaller than the sum of its proper divisors (55986444096).

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

27189720768 is a wasteful number, since it uses less digits than its factorization.

27189720768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 57.

The spelling of 27189720768 in words is "twenty-seven billion, one hundred eighty-nine million, seven hundred twenty thousand, seven hundred sixty-eight".