27735384880 has 80 divisors (see below), whose sum is σ = 73971247680. Its totient is φ = 9473872896.

The previous prime is 27735384827. The next prime is 27735384917. The reversal of 27735384880 is 8848353772.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×27735384880² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58582 + ... + 242698.

It is an arithmetic number, because the mean of its divisors is an integer number (924640596).

Almost surely, 2^27735384880 is an apocalyptic number.

27735384880 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 27735384880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36985623840).

27735384880 is an abundant number, since it is smaller than the sum of its proper divisors (46235862800).

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

27735384880 is a wasteful number, since it uses less digits than its factorization.

27735384880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184406 (or 184400 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 55.

The spelling of 27735384880 in words is "twenty-seven billion, seven hundred thirty-five million, three hundred eighty-four thousand, eight hundred eighty".