27908919360 has 616 divisors, whose sum is σ = 114467493696. Its totient is φ = 6348948480.

The previous prime is 27908919343. The next prime is 27908919407. The reversal of 27908919360 is 6391980972.

27908919360 is a `hidden beast` number, since 279 + 0 + 8 + 9 + 1 + 9 + 360 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 27908919297 and 27908919306.

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 87 ways as a sum of consecutive naturals, for example, 132269655 + ... + 132269865.

Almost surely, 2^27908919360 is an apocalyptic number.

27908919360 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 27908919360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57233746848).

27908919360 is an abundant number, since it is smaller than the sum of its proper divisors (86558574336).

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

27908919360 is an frugal number, since it uses more digits than its factorization.

27908919360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 27908919360 in words is "twenty-seven billion, nine hundred eight million, nine hundred nineteen thousand, three hundred sixty".