27750848023668 has 192 divisors, whose sum is σ = 80820169113600. Its totient is φ = 7199943653760.

The previous prime is 27750848023603. The next prime is 27750848023669. The reversal of 27750848023668 is 86632084805772.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 27750848023599 and 27750848023608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27750848023669) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4364023873 + ... + 4364030231.

It is an arithmetic number, because the mean of its divisors is an integer number (420938380800).

Almost surely, 2^{27750848023668} is an apocalyptic number.

27750848023668 is a gapful number since it is divisible by the number (28) 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 27750848023668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40410084556800).

27750848023668 is an abundant number, since it is smaller than the sum of its proper divisors (53069321089932).

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

27750848023668 is a wasteful number, since it uses less digits than its factorization.

27750848023668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10930 (or 10928 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 66.

The spelling of 27750848023668 in words is "twenty-seven trillion, seven hundred fifty billion, eight hundred forty-eight million, twenty-three thousand, six hundred sixty-eight".