27785315450880 has 2048 divisors, whose sum is σ = 114197998521600. Its totient is φ = 6349035405312.

The previous prime is 27785315450821. The next prime is 27785315450929. The reversal of 27785315450880 is 8805451358772.

27785315450880 is a `hidden beast` number, since 2 + 7 + 7 + 8 + 5 + 3 + 1 + 545 + 0 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a super-3 number, since 3×27785315450880³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 94830428014 + ... + 94830428306.

Almost surely, 2^{27785315450880} is an apocalyptic number.

27785315450880 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 27785315450880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57098999260800).

27785315450880 is an abundant number, since it is smaller than the sum of its proper divisors (86412683070720).

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

27785315450880 is a wasteful number, since it uses less digits than its factorization.

27785315450880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 75264000, while the sum is 63.

The spelling of 27785315450880 in words is "twenty-seven trillion, seven hundred eighty-five billion, three hundred fifteen million, four hundred fifty thousand, eight hundred eighty".