96921435600 has 360 divisors, whose sum is σ = 379185383360. Its totient is φ = 23495788800.

The previous prime is 96921435587. The next prime is 96921435607. The reversal of 96921435600 is 653412969.

96921435600 is a `hidden beast` number, since 9 + 6 + 9 + 2 + 1 + 4 + 35 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96921435607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1269717 + ... + 1343883.

Almost surely, 2^96921435600 is an apocalyptic number.

96921435600 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 96921435600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189592691680).

96921435600 is an abundant number, since it is smaller than the sum of its proper divisors (282263947760).

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

96921435600 is a wasteful number, since it uses less digits than its factorization.

96921435600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74216 (or 74188 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 96921435600 in words is "ninety-six billion, nine hundred twenty-one million, four hundred thirty-five thousand, six hundred".