27009649703700 has 216 divisors, whose sum is σ = 87401498446080. Its totient is φ = 6969412569600.

The previous prime is 27009649703693. The next prime is 27009649703719. The reversal of 27009649703700 is 730794690072.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 258218011 + ... + 258322589.

It is an arithmetic number, because the mean of its divisors is an integer number (404636566880).

Almost surely, 2^{27009649703700} is an apocalyptic number.

27009649703700 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 27009649703700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43700749223040).

27009649703700 is an abundant number, since it is smaller than the sum of its proper divisors (60391848742380).

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

27009649703700 is a wasteful number, since it uses less digits than its factorization.

27009649703700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113887 (or 113877 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 54.

The spelling of 27009649703700 in words is "twenty-seven trillion, nine billion, six hundred forty-nine million, seven hundred three thousand, seven hundred".