27037728456 has 128 divisors (see below), whose sum is σ = 71397072000. Its totient is φ = 8519841792.

The previous prime is 27037728451. The next prime is 27037728527. The reversal of 27037728456 is 65482773072.

It is a junction number, because it is equal to n+sod(n) for n = 27037728399 and 27037728408.

It is not an unprimeable number, because it can be changed into a prime (27037728451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11373540 + ... + 11375916.

It is an arithmetic number, because the mean of its divisors is an integer number (557789625).

Almost surely, 2^27037728456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27037728456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35698536000).

27037728456 is an abundant number, since it is smaller than the sum of its proper divisors (44359343544).

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

27037728456 is a wasteful number, since it uses less digits than its factorization.

27037728456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2751 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 51.

The spelling of 27037728456 in words is "twenty-seven billion, thirty-seven million, seven hundred twenty-eight thousand, four hundred fifty-six".