27012894736 has 45 divisors (see below), whose sum is σ = 55620269719. Its totient is φ = 12706691072.

The previous prime is 27012894673. The next prime is 27012894739. The reversal of 27012894736 is 63749821072.

It is a happy number.

The square root of 27012894736 is 164356.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 17044869136 + 9968025600 = 130556^2 + 99840^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 27012894736.

It is not an unprimeable number, because it can be changed into a prime (27012894739) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11175000 + ... + 11177416.

Almost surely, 2^27012894736 is an apocalyptic number.

27012894736 is the 164356-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27012894736

27012894736 is an abundant number, since it is smaller than the sum of its proper divisors (28607374983).

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

27012894736 is an frugal number, since it uses more digits than its factorization.

27012894736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4876 (or 2436 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 49.

Multiplying 27012894736 by its sum of digits (49), we get a square (1323631842064 = 1150492²).

It can be divided in two parts, 2701289 and 4736, that added together give a square (2706025 = 1645²).

The spelling of 27012894736 in words is "twenty-seven billion, twelve million, eight hundred ninety-four thousand, seven hundred thirty-six".