27578932752 has 160 divisors (see below), whose sum is σ = 84195753984. Its totient is φ = 7612300800.

The previous prime is 27578932739. The next prime is 27578932753. The reversal of 27578932752 is 25723987572.

It is a junction number, because it is equal to n+sod(n) for n = 27578932692 and 27578932701.

It is not an unprimeable number, because it can be changed into a prime (27578932753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7049677 + ... + 7053587.

Almost surely, 2^27578932752 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 27578932752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42097876992).

27578932752 is an abundant number, since it is smaller than the sum of its proper divisors (56616821232).

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

27578932752 is a wasteful number, since it uses less digits than its factorization.

27578932752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4637 (or 4631 counting only the distinct ones).

The product of its digits is 14817600, while the sum is 57.

The spelling of 27578932752 in words is "twenty-seven billion, five hundred seventy-eight million, nine hundred thirty-two thousand, seven hundred fifty-two".