27854328320 has 960 divisors, whose sum is σ = 94043980800. Its totient is φ = 7803371520.

The previous prime is 27854328269. The next prime is 27854328347. The reversal of 27854328320 is 2382345872.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 898526705 + ... + 898526735.

It is an arithmetic number, because the mean of its divisors is an integer number (97962480).

Almost surely, 2^27854328320 is an apocalyptic number.

27854328320 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 27854328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47021990400).

27854328320 is an abundant number, since it is smaller than the sum of its proper divisors (66189652480).

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

27854328320 is a wasteful number, since it uses less digits than its factorization.

27854328320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 44.

The spelling of 27854328320 in words is "twenty-seven billion, eight hundred fifty-four million, three hundred twenty-eight thousand, three hundred twenty".