30659119831424 has 128 divisors (see below), whose sum is σ = 70213826887680. Its totient is φ = 13062618316800.

The previous prime is 30659119831423. The next prime is 30659119831453. The reversal of 30659119831424 is 42413891195603.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 30659119831424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30659119831421) 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, 256392449 + ... + 256511999.

It is an arithmetic number, because the mean of its divisors is an integer number (548545522560).

Almost surely, 2^{30659119831424} 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 30659119831424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35106913443840).

30659119831424 is an abundant number, since it is smaller than the sum of its proper divisors (39554707056256).

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

30659119831424 is a wasteful number, since it uses less digits than its factorization.

30659119831424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121248 (or 121236 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 56.

The spelling of 30659119831424 in words is "thirty trillion, six hundred fifty-nine billion, one hundred nineteen million, eight hundred thirty-one thousand, four hundred twenty-four".