27705065700 has 216 divisors, whose sum is σ = 87285413376. Its totient is φ = 6781632000.

The previous prime is 27705065627. The next prime is 27705065737. The reversal of 27705065700 is 756050772.

It is a super-3 number, since 3×27705065700³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9682270 + ... + 9685130.

It is an arithmetic number, because the mean of its divisors is an integer number (404099136).

Almost surely, 2^27705065700 is an apocalyptic number.

27705065700 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 27705065700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43642706688).

27705065700 is an abundant number, since it is smaller than the sum of its proper divisors (59580347676).

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

27705065700 is a wasteful number, since it uses less digits than its factorization.

27705065700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3095 (or 3075 counting only the distinct ones).

The product of its (nonzero) digits is 102900, while the sum is 39.

The spelling of 27705065700 in words is "twenty-seven billion, seven hundred five million, sixty-five thousand, seven hundred".