108786481090560 has 3328 divisors, whose sum is σ = 497135458713600. Its totient is φ = 21949323411456.

The previous prime is 108786481090541. The next prime is 108786481090583. The reversal of 108786481090560 is 65090184687801.

108786481090560 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 8 + 6 + 481 + 0 + 90 + 5 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3328).

It is a super-2 number, since 2×108786481090560² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 185326202587 + ... + 185326203173.

Almost surely, 2^{108786481090560} is an apocalyptic number.

108786481090560 is a gapful number since it is divisible by the number (10) 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 108786481090560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248567729356800).

108786481090560 is an abundant number, since it is smaller than the sum of its proper divisors (388348977623040).

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

108786481090560 is a wasteful number, since it uses less digits than its factorization.

108786481090560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 108786481090560 in words is "one hundred eight trillion, seven hundred eighty-six billion, four hundred eighty-one million, ninety thousand, five hundred sixty".