27001126516 has 96 divisors (see below), whose sum is σ = 58962193920. Its totient is φ = 10534385664.

The previous prime is 27001126489. The next prime is 27001126519. The reversal of 27001126516 is 61562110072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27001126519) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16294360 + ... + 16296016.

It is an arithmetic number, because the mean of its divisors is an integer number (614189520).

Almost surely, 2^27001126516 is an apocalyptic number.

27001126516 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 27001126516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29481096960).

27001126516 is an abundant number, since it is smaller than the sum of its proper divisors (31961067404).

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

27001126516 is a wasteful number, since it uses less digits than its factorization.

27001126516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2273 (or 2271 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

Adding to 27001126516 its reverse (61562110072), we get a palindrome (88563236588).

The spelling of 27001126516 in words is "twenty-seven billion, one million, one hundred twenty-six thousand, five hundred sixteen".