27012660480 has 432 divisors, whose sum is σ = 101145255120. Its totient is φ = 6616645632.

The previous prime is 27012660473. The next prime is 27012660481. The reversal of 27012660480 is 8406621072.

27012660480 is a `hidden beast` number, since 27 + 0 + 1 + 26 + 604 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 11830477824 + 15182182656 = 108768^2 + 123216^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27012660481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47473636 + ... + 47474204.

It is an arithmetic number, because the mean of its divisors is an integer number (234132535).

Almost surely, 2^27012660480 is an apocalyptic number.

27012660480 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 27012660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50572627560).

27012660480 is an abundant number, since it is smaller than the sum of its proper divisors (74132594640).

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

27012660480 is a wasteful number, since it uses less digits than its factorization.

27012660480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 27012660480 in words is "twenty-seven billion, twelve million, six hundred sixty thousand, four hundred eighty".