109385598240 has 288 divisors, whose sum is σ = 383980746240. Its totient is φ = 28335716352.

The previous prime is 109385598209. The next prime is 109385598247. The reversal of 109385598240 is 42895583901.

109385598240 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 8 + 5 + 598 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (109385598247) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 44700697 + ... + 44703143.

It is an arithmetic number, because the mean of its divisors is an integer number (1333266480).

Almost surely, 2^109385598240 is an apocalyptic number.

109385598240 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 109385598240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191990373120).

109385598240 is an abundant number, since it is smaller than the sum of its proper divisors (274595148000).

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

109385598240 is a wasteful number, since it uses less digits than its factorization.

109385598240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3344 (or 3333 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 109385598240 in words is "one hundred nine billion, three hundred eighty-five million, five hundred ninety-eight thousand, two hundred forty".