10409510598112 has 96 divisors (see below), whose sum is σ = 22065417722880. Its totient is φ = 4818442268160.

The previous prime is 10409510598049. The next prime is 10409510598119. The reversal of 10409510598112 is 21189501590401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10409510598119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18207162 + ... + 18770182.

It is an arithmetic number, because the mean of its divisors is an integer number (229848101280).

Almost surely, 2^{10409510598112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10409510598112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11032708861440).

10409510598112 is an abundant number, since it is smaller than the sum of its proper divisors (11655907124768).

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

10409510598112 is a wasteful number, since it uses less digits than its factorization.

10409510598112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563744 (or 563736 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 46.

The spelling of 10409510598112 in words is "ten trillion, four hundred nine billion, five hundred ten million, five hundred ninety-eight thousand, one hundred twelve".