109500565680 has 480 divisors, whose sum is σ = 420420948480. Its totient is φ = 25281822720.

The previous prime is 109500565679. The next prime is 109500565739. The reversal of 109500565680 is 86565005901.

It is a happy number.

109500565680 is a `hidden beast` number, since 1 + 0 + 9 + 5 + 0 + 0 + 565 + 6 + 80 = 666.

109500565680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46813951 + ... + 46816289.

It is an arithmetic number, because the mean of its divisors is an integer number (875876976).

Almost surely, 2^109500565680 is an apocalyptic number.

109500565680 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 109500565680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210210474240).

109500565680 is an abundant number, since it is smaller than the sum of its proper divisors (310920382800).

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

109500565680 is a wasteful number, since it uses less digits than its factorization.

109500565680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2649 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 109500565680 in words is "one hundred nine billion, five hundred million, five hundred sixty-five thousand, six hundred eighty".