108769718349600 has 1728 divisors, whose sum is σ = 477133846479360. Its totient is φ = 21221919129600.

The previous prime is 108769718349569. The next prime is 108769718349629. The reversal of 108769718349600 is 6943817967801.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2777339619 + ... + 2777378781.

It is an arithmetic number, because the mean of its divisors is an integer number (276119124120).

Almost surely, 2^{108769718349600} is an apocalyptic number.

108769718349600 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 108769718349600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238566923239680).

108769718349600 is an abundant number, since it is smaller than the sum of its proper divisors (368364128129760).

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

108769718349600 is a wasteful number, since it uses less digits than its factorization.

108769718349600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39343 (or 39323 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 69.

The spelling of 108769718349600 in words is "one hundred eight trillion, seven hundred sixty-nine billion, seven hundred eighteen million, three hundred forty-nine thousand, six hundred".