27506788960 has 96 divisors (see below), whose sum is σ = 75784161600. Its totient is φ = 9430880256.

The previous prime is 27506788921. The next prime is 27506788993. The reversal of 27506788960 is 6988760572.

It is a junction number, because it is equal to n+sod(n) for n = 27506788895 and 27506788904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195729 + ... + 305488.

It is an arithmetic number, because the mean of its divisors is an integer number (789418350).

Almost surely, 2^27506788960 is an apocalyptic number.

27506788960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27506788960 is an abundant number, since it is smaller than the sum of its proper divisors (48277372640).

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

27506788960 is an equidigital number, since it uses as much as digits as its factorization.

27506788960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501253 (or 501231 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 58.

The spelling of 27506788960 in words is "twenty-seven billion, five hundred six million, seven hundred eighty-eight thousand, nine hundred sixty".