27650760438000 has 640 divisors, whose sum is σ = 102941822730240. Its totient is φ = 6254720640000.

The previous prime is 27650760437987. The next prime is 27650760438029. The reversal of 27650760438000 is 83406705672.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1586289285 + ... + 1586306715.

It is an arithmetic number, because the mean of its divisors is an integer number (160846598016).

Almost surely, 2^{27650760438000} is an apocalyptic number.

27650760438000 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 27650760438000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51470911365120).

27650760438000 is an abundant number, since it is smaller than the sum of its proper divisors (75291062292240).

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

27650760438000 is a wasteful number, since it uses less digits than its factorization.

27650760438000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17854 (or 17838 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 27650760438000 in words is "twenty-seven trillion, six hundred fifty billion, seven hundred sixty million, four hundred thirty-eight thousand".