96435558400 has 144 divisors (see below), whose sum is σ = 241799758200. Its totient is φ = 38139002880.

The previous prime is 96435558389. The next prime is 96435558403. The reversal of 96435558400 is 485553469.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96435558403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4546219 + ... + 4567381.

Almost surely, 2^96435558400 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 96435558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120899879100).

96435558400 is an abundant number, since it is smaller than the sum of its proper divisors (145364199800).

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

96435558400 is a wasteful number, since it uses less digits than its factorization.

96435558400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21284 (or 21259 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 49.

The spelling of 96435558400 in words is "ninety-six billion, four hundred thirty-five million, five hundred fifty-eight thousand, four hundred".