27834486700000 has 288 divisors, whose sum is σ = 69704786608128. Its totient is φ = 10937974080000.

The previous prime is 27834486699979. The next prime is 27834486700001. The reversal of 27834486700000 is 768443872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27834486700001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2566094577 + ... + 2566105423.

It is an arithmetic number, because the mean of its divisors is an integer number (242030509056).

Almost surely, 2^{27834486700000} is an apocalyptic number.

27834486700000 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 27834486700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34852393304064).

27834486700000 is an abundant number, since it is smaller than the sum of its proper divisors (41870299908128).

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

27834486700000 is an equidigital number, since it uses as much as digits as its factorization.

27834486700000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11332 (or 11304 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 49.

The spelling of 27834486700000 in words is "twenty-seven trillion, eight hundred thirty-four billion, four hundred eighty-six million, seven hundred thousand".