108027534311424 has 2448 divisors, whose sum is σ = 423974864581632. Its totient is φ = 27193189072896.

The previous prime is 108027534311423. The next prime is 108027534311449. The reversal of 108027534311424 is 424113435720801.

108027534311424 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 2 + 75 + 3 + 431 + 142 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 108027534311424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108027534311423) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 233320808217 + ... + 233320808679.

Almost surely, 2^{108027534311424} is an apocalyptic number.

108027534311424 is a gapful number since it is divisible by the number (14) 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 108027534311424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211987432290816).

108027534311424 is an abundant number, since it is smaller than the sum of its proper divisors (315947330270208).

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

108027534311424 is an frugal number, since it uses more digits than its factorization.

108027534311424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 108027534311424 in words is "one hundred eight trillion, twenty-seven billion, five hundred thirty-four million, three hundred eleven thousand, four hundred twenty-four".