27800718456 has 256 divisors, whose sum is σ = 84536524800. Its totient is φ = 7450781184.

The previous prime is 27800718397. The next prime is 27800718457. The reversal of 27800718456 is 65481700872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27800718457) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 38239965 + ... + 38240691.

It is an arithmetic number, because the mean of its divisors is an integer number (330220800).

Almost surely, 2^27800718456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27800718456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42268262400).

27800718456 is an abundant number, since it is smaller than the sum of its proper divisors (56735806344).

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

27800718456 is a wasteful number, since it uses less digits than its factorization.

27800718456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 27800718456 in words is "twenty-seven billion, eight hundred million, seven hundred eighteen thousand, four hundred fifty-six".