27836050140 has 240 divisors, whose sum is σ = 89353756800. Its totient is φ = 7251907968.

The previous prime is 27836050139. The next prime is 27836050147. The reversal of 27836050140 is 4105063872.

27836050140 is a `hidden beast` number, since 2 + 7 + 8 + 3 + 605 + 0 + 1 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27836050095 and 27836050104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27836050147) 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 79 ways as a sum of consecutive naturals, for example, 17108007 + ... + 17109633.

It is an arithmetic number, because the mean of its divisors is an integer number (372307320).

Almost surely, 2^27836050140 is an apocalyptic number.

27836050140 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 27836050140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44676878400).

27836050140 is an abundant number, since it is smaller than the sum of its proper divisors (61517706660).

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

27836050140 is a wasteful number, since it uses less digits than its factorization.

27836050140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 27836050140 in words is "twenty-seven billion, eight hundred thirty-six million, fifty thousand, one hundred forty".