27854034660480 has 256 divisors, whose sum is σ = 101676646748160. Its totient is φ = 6353561825280.

The previous prime is 27854034660469. The next prime is 27854034660481. The reversal of 27854034660480 is 8406643045872.

It is a self number, because there is not a number n which added to its sum of digits gives 27854034660480.

It is not an unprimeable number, because it can be changed into a prime (27854034660481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4417485 + ... + 8673075.

It is an arithmetic number, because the mean of its divisors is an integer number (397174401360).

Almost surely, 2^{27854034660480} is an apocalyptic number.

27854034660480 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 27854034660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50838323374080).

27854034660480 is an abundant number, since it is smaller than the sum of its proper divisors (73822612087680).

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

27854034660480 is a wasteful number, since it uses less digits than its factorization.

27854034660480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4256107 (or 4256095 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 57.

The spelling of 27854034660480 in words is "twenty-seven trillion, eight hundred fifty-four billion, thirty-four million, six hundred sixty thousand, four hundred eighty".