27905856000 has 640 divisors, whose sum is σ = 103167896832. Its totient is φ = 6635520000.

The previous prime is 27905855987. The next prime is 27905856037. The reversal of 27905856000 is 65850972.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154175910 + ... + 154176090.

Almost surely, 2^27905856000 is an apocalyptic number.

27905856000 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 27905856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51583948416).

27905856000 is an abundant number, since it is smaller than the sum of its proper divisors (75262040832).

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

27905856000 is a wasteful number, since it uses less digits than its factorization.

27905856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 27905856000 in words is "twenty-seven billion, nine hundred five million, eight hundred fifty-six thousand".