96039874560000 has 3840 divisors, whose sum is σ = 414507260217600. Its totient is φ = 19619905536000.

The previous prime is 96039874559983. The next prime is 96039874560013. The reversal of 96039874560000 is 6547893069.

It is a happy number.

96039874560000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1315614719964 + ... + 1315614720036.

It is an arithmetic number, because the mean of its divisors is an integer number (107944599015).

Almost surely, 2^{96039874560000} 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 96039874560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207253630108800).

96039874560000 is an abundant number, since it is smaller than the sum of its proper divisors (318467385657600).

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

96039874560000 is an equidigital number, since it uses as much as digits as its factorization.

96039874560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The spelling of 96039874560000 in words is "ninety-six trillion, thirty-nine billion, eight hundred seventy-four million, five hundred sixty thousand".