96425472000 has 832 divisors, whose sum is σ = 377818721280. Its totient is φ = 21528576000.

The previous prime is 96425471981. The next prime is 96425472001. The reversal of 96425472000 is 27452469.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 96425472000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96425472001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 219647781 + ... + 219648219.

It is an arithmetic number, because the mean of its divisors is an integer number (454109040).

Almost surely, 2^96425472000 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 96425472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188909360640).

96425472000 is an abundant number, since it is smaller than the sum of its proper divisors (281393249280).

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

96425472000 is a wasteful number, since it uses less digits than its factorization.

96425472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 96425472000 in words is "ninety-six billion, four hundred twenty-five million, four hundred seventy-two thousand".