109593383040 has 192 divisors, whose sum is σ = 385581095640. Its totient is φ = 28673409024.

The previous prime is 109593382993. The next prime is 109593383071. The reversal of 109593383040 is 40383395901.

109593383040 is a `hidden beast` number, since 1 + 0 + 9 + 5 + 9 + 338 + 304 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 96283607616 + 13309775424 = 310296^2 + 115368^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125784 + ... + 484776.

Almost surely, 2^109593383040 is an apocalyptic number.

109593383040 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 109593383040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192790547820).

109593383040 is an abundant number, since it is smaller than the sum of its proper divisors (275987712600).

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

109593383040 is a wasteful number, since it uses less digits than its factorization.

109593383040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359071 (or 359056 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 109593383040 in words is "one hundred nine billion, five hundred ninety-three million, three hundred eighty-three thousand, forty".