27575506138100 has 36 divisors (see below), whose sum is σ = 59844212165388. Its totient is φ = 11029213728000.

The previous prime is 27575506138073. The next prime is 27575506138111. The reversal of 27575506138100 is 183160557572.

It can be written as a sum of positive squares in 6 ways, for example, as 5492217228304 + 22083288909796 = 2343548^2 + 4699286^2 .

It is a super-2 number, since 2×27575506138100² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11237411 + ... + 13469610.

Almost surely, 2^{27575506138100} is an apocalyptic number.

27575506138100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27575506138100 is an abundant number, since it is smaller than the sum of its proper divisors (32268706027288).

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

27575506138100 is a wasteful number, since it uses less digits than its factorization.

27575506138100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24718196 (or 24718189 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 50.

The spelling of 27575506138100 in words is "twenty-seven trillion, five hundred seventy-five billion, five hundred six million, one hundred thirty-eight thousand, one hundred".