27958869510 has 128 divisors (see below), whose sum is σ = 79556843520. Its totient is φ = 6199027200.

The previous prime is 27958869509. The next prime is 27958869553. The reversal of 27958869510 is 1596885972.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 437715 + ... + 497505.

It is an arithmetic number, because the mean of its divisors is an integer number (621537840).

Almost surely, 2^27958869510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27958869510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39778421760).

27958869510 is an abundant number, since it is smaller than the sum of its proper divisors (51597974010).

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

27958869510 is a wasteful number, since it uses less digits than its factorization.

27958869510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59934.

The product of its (nonzero) digits is 10886400, while the sum is 60.

The spelling of 27958869510 in words is "twenty-seven billion, nine hundred fifty-eight million, eight hundred sixty-nine thousand, five hundred ten".