27341500032 has 768 divisors, whose sum is σ = 103547658240. Its totient is φ = 6718464000.

The previous prime is 27341500031. The next prime is 27341500049. The reversal of 27341500032 is 23000514372.

It is a junction number, because it is equal to n+sod(n) for n = 27341499969 and 27341500005.

It is not an unprimeable number, because it can be changed into a prime (27341500031) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 167739183 + ... + 167739345.

It is an arithmetic number, because the mean of its divisors is an integer number (134827680).

Almost surely, 2^27341500032 is an apocalyptic number.

27341500032 is a gapful number since it is divisible by the number (22) 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 27341500032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51773829120).

27341500032 is an abundant number, since it is smaller than the sum of its proper divisors (76206158208).

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

27341500032 is a wasteful number, since it uses less digits than its factorization.

27341500032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 27341500032 in words is "twenty-seven billion, three hundred forty-one million, five hundred thousand, thirty-two".