27321044808960 has 3456 divisors, whose sum is σ = 124298563737600. Its totient is φ = 5642209198080.

The previous prime is 27321044808949. The next prime is 27321044808973. The reversal of 27321044808960 is 6980844012372.

27321044808960 is a `hidden beast` number, since 2 + 7 + 3 + 21 + 0 + 4 + 480 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 27321044808897 and 27321044808906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 93245886574 + ... + 93245886866.

It is an arithmetic number, because the mean of its divisors is an integer number (35966019600).

Almost surely, 2^{27321044808960} is an apocalyptic number.

27321044808960 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 27321044808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62149281868800).

27321044808960 is an abundant number, since it is smaller than the sum of its proper divisors (96977518928640).

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

27321044808960 is a wasteful number, since it uses less digits than its factorization.

27321044808960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 27321044808960 in words is "twenty-seven trillion, three hundred twenty-one billion, forty-four million, eight hundred eight thousand, nine hundred sixty".