27102123640900 has 243 divisors, whose sum is σ = 75209437811991. Its totient is φ = 8446165728000.

The previous prime is 27102123640727. The next prime is 27102123640903. The reversal of 27102123640900 is 904632120172.

The square root of 27102123640900 is 5205970.

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 841582394884 + 26260541246016 = 917378^2 + 5124504^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 27102123640900.

It is not an unprimeable number, because it can be changed into a prime (27102123640903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4008593520 + ... + 4008600280.

Almost surely, 2^{27102123640900} is an apocalyptic number.

27102123640900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27102123640900 is the 5205970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27102123640900

27102123640900 is an abundant number, since it is smaller than the sum of its proper divisors (48107314171091).

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

27102123640900 is an equidigital number, since it uses as much as digits as its factorization.

27102123640900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13572 (or 6786 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The spelling of 27102123640900 in words is "twenty-seven trillion, one hundred two billion, one hundred twenty-three million, six hundred forty thousand, nine hundred".