96840270144000 has 640 divisors, whose sum is σ = 373298342376960. Its totient is φ = 24701276160000.

The previous prime is 96840270143971. The next prime is 96840270144001. The reversal of 96840270144000 is 44107204869.

96840270144000 is a `hidden beast` number, since 96 + 84 + 0 + 2 + 70 + 14 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (96840270144001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38525700 + ... + 40962300.

It is an arithmetic number, because the mean of its divisors is an integer number (583278659964).

Almost surely, 2^{96840270144000} is an apocalyptic number.

96840270144000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96840270144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186649171188480).

96840270144000 is an abundant number, since it is smaller than the sum of its proper divisors (276458072232960).

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

96840270144000 is a wasteful number, since it uses less digits than its factorization.

96840270144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2436666 (or 2436634 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

Adding to 96840270144000 its reverse (44107204869), we get a palindrome (96884377348869).

The spelling of 96840270144000 in words is "ninety-six trillion, eight hundred forty billion, two hundred seventy million, one hundred forty-four thousand".