109233806866560 has 1536 divisors, whose sum is σ = 410685395028480. Its totient is φ = 26683071528960.

The previous prime is 109233806866559. The next prime is 109233806866573. The reversal of 109233806866560 is 65668608332901.

109233806866560 is a `hidden beast` number, since 1 + 0 + 9 + 2 + 3 + 3 + 8 + 0 + 6 + 8 + 66 + 560 = 666.

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, 80259960280 + ... + 80259961640.

It is an arithmetic number, because the mean of its divisors is an integer number (267373304055).

Almost surely, 2^{109233806866560} is an apocalyptic number.

109233806866560 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 109233806866560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205342697514240).

109233806866560 is an abundant number, since it is smaller than the sum of its proper divisors (301451588161920).

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

109233806866560 is a wasteful number, since it uses less digits than its factorization.

109233806866560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1718 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 109233806866560 in words is "one hundred nine trillion, two hundred thirty-three billion, eight hundred six million, eight hundred sixty-six thousand, five hundred sixty".