27061536000000 has 672 divisors, whose sum is σ = 91107465059520. Its totient is φ = 7142400000000.

The previous prime is 27061535999959. The next prime is 27061536000001. The reversal of 27061536000000 is 63516072.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (27061536000001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 9695998605 + ... + 9696001395.

It is an arithmetic number, because the mean of its divisors is an integer number (135576584910).

Almost surely, 2^{27061536000000} is an apocalyptic number.

27061536000000 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 27061536000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45553732529760).

27061536000000 is an abundant number, since it is smaller than the sum of its proper divisors (64045929059520).

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

27061536000000 is an frugal number, since it uses more digits than its factorization.

27061536000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2947 (or 2902 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

Adding to 27061536000000 its reverse (63516072), we get a palindrome (27061599516072).

The spelling of 27061536000000 in words is "twenty-seven trillion, sixty-one billion, five hundred thirty-six million", and thus it is an aban number.