27802134580 has 144 divisors (see below), whose sum is σ = 67727016000. Its totient is φ = 9504056320.

The previous prime is 27802134571. The next prime is 27802134601. The reversal of 27802134580 is 8543120872.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6864396 + ... + 6868444.

It is an arithmetic number, because the mean of its divisors is an integer number (470326500).

Almost surely, 2^27802134580 is an apocalyptic number.

27802134580 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 27802134580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33863508000).

27802134580 is an abundant number, since it is smaller than the sum of its proper divisors (39924881420).

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

27802134580 is a wasteful number, since it uses less digits than its factorization.

27802134580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4174 (or 4149 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The spelling of 27802134580 in words is "twenty-seven billion, eight hundred two million, one hundred thirty-four thousand, five hundred eighty".