27899464320 has 1536 divisors, whose sum is σ = 130880655360. Its totient is φ = 5308416000.

The previous prime is 27899464273. The next prime is 27899464361. The reversal of 27899464320 is 2346499872.

27899464320 is a `hidden beast` number, since 2 + 78 + 99 + 464 + 3 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 276232270 + ... + 276232370.

It is an arithmetic number, because the mean of its divisors is an integer number (85208760).

Almost surely, 2^27899464320 is an apocalyptic number.

27899464320 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 27899464320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65440327680).

27899464320 is an abundant number, since it is smaller than the sum of its proper divisors (102981191040).

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

27899464320 is a wasteful number, since it uses less digits than its factorization.

27899464320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 27899464320 in words is "twenty-seven billion, eight hundred ninety-nine million, four hundred sixty-four thousand, three hundred twenty".