27525500838 has 288 divisors, whose sum is σ = 72613352448. Its totient is φ = 7790618880.

The previous prime is 27525500833. The next prime is 27525500917. The reversal of 27525500838 is 83800552572.

It is a junction number, because it is equal to n+sod(n) for n = 27525500793 and 27525500802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27525500833) 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 143 ways as a sum of consecutive naturals, for example, 63569070 + ... + 63569502.

It is an arithmetic number, because the mean of its divisors is an integer number (252129696).

Almost surely, 2^27525500838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27525500838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36306676224).

27525500838 is an abundant number, since it is smaller than the sum of its proper divisors (45087851610).

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

27525500838 is a wasteful number, since it uses less digits than its factorization.

27525500838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 27525500838 in words is "twenty-seven billion, five hundred twenty-five million, five hundred thousand, eight hundred thirty-eight".