24024000000096 has 144 divisors (see below), whose sum is σ = 69188396659200. Its totient is φ = 7906020505344.

The previous prime is 24024000000089. The next prime is 24024000000193. The reversal of 24024000000096 is 69000000042042.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×24024000000096² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 365523525 + ... + 365589243.

It is an arithmetic number, because the mean of its divisors is an integer number (480474976800).

Almost surely, 2^{24024000000096} 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 24024000000096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34594198329600).

24024000000096 is an abundant number, since it is smaller than the sum of its proper divisors (45164396659104).

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

24024000000096 is a wasteful number, since it uses less digits than its factorization.

24024000000096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81881 (or 81870 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 24024000000096 in words is "twenty-four trillion, twenty-four billion, ninety-six", and thus it is an aban number.