27646458840100 has 81 divisors (see below), whose sum is σ = 62136295636051. Its totient is φ = 10676664174400.

The previous prime is 27646458840059. The next prime is 27646458840139. The reversal of 27646458840100 is 104885464672.

The square root of 27646458840100 is 5257990.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 380015534116 + 27266443305984 = 616454^2 + 5221728^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1524808035 + ... + 1524826165.

Almost surely, 2^{27646458840100} is an apocalyptic number.

27646458840100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27646458840100 is the 5257990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27646458840100

27646458840100 is an abundant number, since it is smaller than the sum of its proper divisors (34489836795951).

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

27646458840100 is an frugal number, since it uses more digits than its factorization.

27646458840100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36334 (or 18167 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 55.

The spelling of 27646458840100 in words is "twenty-seven trillion, six hundred forty-six billion, four hundred fifty-eight million, eight hundred forty thousand, one hundred".