27781887346416 has 480 divisors, whose sum is σ = 94093502630400. Its totient is φ = 7932285656064.

The previous prime is 27781887346393. The next prime is 27781887346469. The reversal of 27781887346416 is 61464378818772.

27781887346416 is a `hidden beast` number, since 2 + 7 + 7 + 8 + 1 + 88 + 73 + 464 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2223078280 + ... + 2223090776.

It is an arithmetic number, because the mean of its divisors is an integer number (196028130480).

Almost surely, 2^{27781887346416} 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 27781887346416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47046751315200).

27781887346416 is an abundant number, since it is smaller than the sum of its proper divisors (66311615283984).

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

27781887346416 is a wasteful number, since it uses less digits than its factorization.

27781887346416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14208 (or 14176 counting only the distinct ones).

The product of its digits is 606928896, while the sum is 72.

The spelling of 27781887346416 in words is "twenty-seven trillion, seven hundred eighty-one billion, eight hundred eighty-seven million, three hundred forty-six thousand, four hundred sixteen".