108642989508480 has 1536 divisors, whose sum is σ = 460095513292800. Its totient is φ = 24144606904320.

The previous prime is 108642989508419. The next prime is 108642989508499. The reversal of 108642989508480 is 84805989246801.

108642989508480 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 4 + 2 + 98 + 9 + 50 + 8 + 480 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 108642989508399 and 108642989508408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8119191390 + ... + 8119204770.

It is an arithmetic number, because the mean of its divisors is an integer number (299541349800).

Almost surely, 2^{108642989508480} is an apocalyptic number.

108642989508480 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 108642989508480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230047756646400).

108642989508480 is an abundant number, since it is smaller than the sum of its proper divisors (351452523784320).

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

108642989508480 is a wasteful number, since it uses less digits than its factorization.

108642989508480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13689 (or 13664 counting only the distinct ones).

The product of its (nonzero) digits is 318504960, while the sum is 72.

The spelling of 108642989508480 in words is "one hundred eight trillion, six hundred forty-two billion, nine hundred eighty-nine million, five hundred eight thousand, four hundred eighty".