108920509698000 has 1280 divisors, whose sum is σ = 472078825021440. Its totient is φ = 20865632256000.

The previous prime is 108920509697981. The next prime is 108920509698023. The reversal of 108920509698000 is 896905029801.

It is a super-4 number, since 4×108920509698000⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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, 4966951036 + ... + 4966972964.

It is an arithmetic number, because the mean of its divisors is an integer number (368811582048).

Almost surely, 2^{108920509698000} is an apocalyptic number.

108920509698000 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 108920509698000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236039412510720).

108920509698000 is an abundant number, since it is smaller than the sum of its proper divisors (363158315323440).

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

108920509698000 is a wasteful number, since it uses less digits than its factorization.

108920509698000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22813 (or 22797 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 57.

The spelling of 108920509698000 in words is "one hundred eight trillion, nine hundred twenty billion, five hundred nine million, six hundred ninety-eight thousand".