96113241824600 has 576 divisors, whose sum is σ = 304483457644800. Its totient is φ = 27453931084800.

The previous prime is 96113241824543. The next prime is 96113241824603. The reversal of 96113241824600 is 642814231169.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96113241824603) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 305948807 + ... + 306262793.

Almost surely, 2^{96113241824600} 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 96113241824600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152241728822400).

96113241824600 is an abundant number, since it is smaller than the sum of its proper divisors (208370215820200).

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

96113241824600 is a wasteful number, since it uses less digits than its factorization.

96113241824600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314184 (or 314164 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 47.

The spelling of 96113241824600 in words is "ninety-six trillion, one hundred thirteen billion, two hundred forty-one million, eight hundred twenty-four thousand, six hundred".