27575377920 has 672 divisors, whose sum is σ = 104683438080. Its totient is φ = 6688604160.

The previous prime is 27575377891. The next prime is 27575377957. The reversal of 27575377920 is 2977357572.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217128897 + ... + 217129023.

Almost surely, 2^27575377920 is an apocalyptic number.

27575377920 is a gapful number since it is divisible by the number (20) 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 27575377920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52341719040).

27575377920 is an abundant number, since it is smaller than the sum of its proper divisors (77108060160).

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

27575377920 is a wasteful number, since it uses less digits than its factorization.

27575377920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 6482700, while the sum is 54.

The spelling of 27575377920 in words is "twenty-seven billion, five hundred seventy-five million, three hundred seventy-seven thousand, nine hundred twenty".