27780864000 has 384 divisors, whose sum is σ = 94105851840. Its totient is φ = 7274496000.

The previous prime is 27780863977. The next prime is 27780864049. The reversal of 27780864000 is 46808772.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46847704 + ... + 46848296.

Almost surely, 2^27780864000 is an apocalyptic number.

27780864000 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 27780864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47052925920).

27780864000 is an abundant number, since it is smaller than the sum of its proper divisors (66324987840).

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

27780864000 is an equidigital number, since it uses as much as digits as its factorization.

27780864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

It can be divided in two parts, 27780 and 864000, that added together give a triangular number (891780 = T₁₃₃₅).

The spelling of 27780864000 in words is "twenty-seven billion, seven hundred eighty million, eight hundred sixty-four thousand".