27168232383820 has 96 divisors (see below), whose sum is σ = 63309848313600. Its totient is φ = 9709611475200.

The previous prime is 27168232383767. The next prime is 27168232383829. The reversal of 27168232383820 is 2838323286172.

It is a super-2 number, since 2×27168232383820² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (27168232383829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55062171 + ... + 55553389.

It is an arithmetic number, because the mean of its divisors is an integer number (659477586600).

Almost surely, 2^{27168232383820} is an apocalyptic number.

27168232383820 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 27168232383820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31654924156800).

27168232383820 is an abundant number, since it is smaller than the sum of its proper divisors (36141615929780).

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

27168232383820 is a wasteful number, since it uses less digits than its factorization.

27168232383820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495559 (or 495557 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 55.

The spelling of 27168232383820 in words is "twenty-seven trillion, one hundred sixty-eight billion, two hundred thirty-two million, three hundred eighty-three thousand, eight hundred twenty".