27909641088 has 768 divisors, whose sum is σ = 101582208000. Its totient is φ = 7331917824.

The previous prime is 27909641087. The next prime is 27909641107. The reversal of 27909641088 is 88014690972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27909641083) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 336260695 + ... + 336260777.

It is an arithmetic number, because the mean of its divisors is an integer number (132268500).

Almost surely, 2^27909641088 is an apocalyptic number.

27909641088 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 27909641088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50791104000).

27909641088 is an abundant number, since it is smaller than the sum of its proper divisors (73672566912).

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

27909641088 is a wasteful number, since it uses less digits than its factorization.

27909641088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 27909641088 in words is "twenty-seven billion, nine hundred nine million, six hundred forty-one thousand, eighty-eight".