96487833600 has 576 divisors, whose sum is σ = 361297076400. Its totient is φ = 24568135680.

The previous prime is 96487833593. The next prime is 96487833613. The reversal of 96487833600 is 633878469.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 169574116 + ... + 169574684.

Almost surely, 2^96487833600 is an apocalyptic number.

96487833600 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 96487833600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180648538200).

96487833600 is an abundant number, since it is smaller than the sum of its proper divisors (264809242800).

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

96487833600 is a wasteful number, since it uses less digits than its factorization.

96487833600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 96487833600 in words is "ninety-six billion, four hundred eighty-seven million, eight hundred thirty-three thousand, six hundred".