109765355040 has 384 divisors, whose sum is σ = 424293085440. Its totient is φ = 26608849920.

The previous prime is 109765355023. The next prime is 109765355041. The reversal of 109765355040 is 40553567901.

109765355040 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 6 + 53 + 550 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (109765355041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3834862 + ... + 3863378.

It is an arithmetic number, because the mean of its divisors is an integer number (1104929910).

Almost surely, 2^109765355040 is an apocalyptic number.

109765355040 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 109765355040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212146542720).

109765355040 is an abundant number, since it is smaller than the sum of its proper divisors (314527730400).

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

109765355040 is an equidigital number, since it uses as much as digits as its factorization.

109765355040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28564 (or 28538 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 109765355040 in words is "one hundred nine billion, seven hundred sixty-five million, three hundred fifty-five thousand, forty".