27070482816 has 384 divisors, whose sum is σ = 86778531840. Its totient is φ = 8047226880.

The previous prime is 27070482787. The next prime is 27070482821. The reversal of 27070482816 is 61828407072.

27070482816 is a `hidden beast` number, since 27 + 0 + 70 + 482 + 81 + 6 = 666.

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

It is a super-2 number, since 2×27070482816² (a number of 22 digits) contains 22 as substring.

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, 81783771 + ... + 81784101.

It is an arithmetic number, because the mean of its divisors is an integer number (225985760).

Almost surely, 2^27070482816 is an apocalyptic number.

27070482816 is a gapful number since it is divisible by the number (26) 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 27070482816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43389265920).

27070482816 is an abundant number, since it is smaller than the sum of its proper divisors (59708049024).

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

27070482816 is a wasteful number, since it uses less digits than its factorization.

27070482816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

Adding to 27070482816 its reverse (61828407072), we get a palindrome (88898889888).

The spelling of 27070482816 in words is "twenty-seven billion, seventy million, four hundred eighty-two thousand, eight hundred sixteen".