96545448979200 has 2592 divisors, whose sum is σ = 410130007874496. Its totient is φ = 22259674644480.

The previous prime is 96545448979181. The next prime is 96545448979211. The reversal of 96545448979200 is 297984454569.

96545448979200 is a `hidden beast` number, since 9 + 6 + 5 + 4 + 5 + 448 + 97 + 92 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 88330693854 + ... + 88330694946.

Almost surely, 2^{96545448979200} is an apocalyptic number.

96545448979200 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 96545448979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205065003937248).

96545448979200 is an abundant number, since it is smaller than the sum of its proper divisors (313584558895296).

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

96545448979200 is a wasteful number, since it uses less digits than its factorization.

96545448979200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 96545448979200 in words is "ninety-six trillion, five hundred forty-five billion, four hundred forty-eight million, nine hundred seventy-nine thousand, two hundred".