96341582400 has 672 divisors, whose sum is σ = 382487424000. Its totient is φ = 20739317760.

The previous prime is 96341582371. The next prime is 96341582459. The reversal of 96341582400 is 428514369.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 146193271 + ... + 146193929.

Almost surely, 2^96341582400 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 96341582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191243712000).

96341582400 is an abundant number, since it is smaller than the sum of its proper divisors (286145841600).

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

96341582400 is a wasteful number, since it uses less digits than its factorization.

96341582400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 96341582400 in words is "ninety-six billion, three hundred forty-one million, five hundred eighty-two thousand, four hundred".