96485467584480 has 1536 divisors, whose sum is σ = 363195490775040. Its totient is φ = 21325747322880.

The previous prime is 96485467584391. The next prime is 96485467584547. The reversal of 96485467584480 is 8448576458469.

96485467584480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a junction number, because it is equal to n+sod(n) for n = 96485467584396 and 96485467584405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 43131633922 + ... + 43131636158.

It is an arithmetic number, because the mean of its divisors is an integer number (236455397640).

Almost surely, 2^{96485467584480} 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 96485467584480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181597745387520).

96485467584480 is an abundant number, since it is smaller than the sum of its proper divisors (266710023190560).

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

96485467584480 is a wasteful number, since it uses less digits than its factorization.

96485467584480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2604 (or 2596 counting only the distinct ones).

The product of its (nonzero) digits is 7431782400, while the sum is 78.

The spelling of 96485467584480 in words is "ninety-six trillion, four hundred eighty-five billion, four hundred sixty-seven million, five hundred eighty-four thousand, four hundred eighty".