27042134028 has 192 divisors, whose sum is σ = 81914327040. Its totient is φ = 6742787328.

The previous prime is 27042133997. The next prime is 27042134029. The reversal of 27042134028 is 82043124072.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 27042134028.

It is not an unprimeable number, because it can be changed into a prime (27042134029) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13339951 + ... + 13341977.

It is an arithmetic number, because the mean of its divisors is an integer number (426637120).

Almost surely, 2^27042134028 is an apocalyptic number.

27042134028 is a gapful number since it is divisible by the number (28) 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 27042134028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40957163520).

27042134028 is an abundant number, since it is smaller than the sum of its proper divisors (54872193012).

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

27042134028 is a wasteful number, since it uses less digits than its factorization.

27042134028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2716 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The spelling of 27042134028 in words is "twenty-seven billion, forty-two million, one hundred thirty-four thousand, twenty-eight".