27161230448352 has 576 divisors, whose sum is σ = 96496839032832. Its totient is φ = 6509312409600.

The previous prime is 27161230448327. The next prime is 27161230448353. The reversal of 27161230448352 is 25384403216172.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27161230448353) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3315980577 + ... + 3315988767.

It is an arithmetic number, because the mean of its divisors is an integer number (167529234432).

Almost surely, 2^{27161230448352} is an apocalyptic number.

27161230448352 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 27161230448352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48248419516416).

27161230448352 is an abundant number, since it is smaller than the sum of its proper divisors (69335608584480).

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

27161230448352 is a wasteful number, since it uses less digits than its factorization.

27161230448352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11383 (or 11364 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 27161230448352 in words is "twenty-seven trillion, one hundred sixty-one billion, two hundred thirty million, four hundred forty-eight thousand, three hundred fifty-two".