27350060728320 has 1408 divisors, whose sum is σ = 107826835765680. Its totient is φ = 6604518850560.

The previous prime is 27350060728279. The next prime is 27350060728321. The reversal of 27350060728320 is 2382706005372.

27350060728320 is a `hidden beast` number, since 2 + 7 + 3 + 5 + 0 + 0 + 607 + 2 + 8 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27350060728321) by changing a digit.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 106420469632 + ... + 106420469888.

Almost surely, 2^{27350060728320} is an apocalyptic number.

27350060728320 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 27350060728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53913417882840).

27350060728320 is an abundant number, since it is smaller than the sum of its proper divisors (80476775037360).

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

27350060728320 is an frugal number, since it uses more digits than its factorization.

27350060728320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 27350060728320 in words is "twenty-seven trillion, three hundred fifty billion, sixty million, seven hundred twenty-eight thousand, three hundred twenty".