96528138450560 has 256 divisors, whose sum is σ = 240594140160000. Its totient is φ = 36991783157760.

The previous prime is 96528138450559. The next prime is 96528138450581. The reversal of 96528138450560 is 6505483182569.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a junction number, because it is equal to n+sod(n) for n = 96528138450493 and 96528138450502.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2657768081 + ... + 2657804399.

It is an arithmetic number, because the mean of its divisors is an integer number (939820860000).

Almost surely, 2^{96528138450560} 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 96528138450560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120297070080000).

96528138450560 is an abundant number, since it is smaller than the sum of its proper divisors (144066001709440).

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

96528138450560 is a wasteful number, since it uses less digits than its factorization.

96528138450560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37707 (or 37695 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 62.

The spelling of 96528138450560 in words is "ninety-six trillion, five hundred twenty-eight billion, one hundred thirty-eight million, four hundred fifty thousand, five hundred sixty".