96006546259200 has 2160 divisors, whose sum is σ = 396293679581184. Its totient is φ = 22819287859200.

The previous prime is 96006546259199. The next prime is 96006546259223. The reversal of 96006546259200 is 295264560069.

96006546259200 is a `hidden beast` number, since 9 + 6 + 0 + 0 + 6 + 5 + 4 + 625 + 9 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 12840245862 + ... + 12840253338.

Almost surely, 2^{96006546259200} is an apocalyptic number.

96006546259200 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 96006546259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198146839790592).

96006546259200 is an abundant number, since it is smaller than the sum of its proper divisors (300287133321984).

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

96006546259200 is a wasteful number, since it uses less digits than its factorization.

96006546259200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7610 (or 7582 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 96006546259200 in words is "ninety-six trillion, six billion, five hundred forty-six million, two hundred fifty-nine thousand, two hundred".