96460243200 has 1080 divisors, whose sum is σ = 377586582912. Its totient is φ = 24266096640.

The previous prime is 96460243193. The next prime is 96460243291. The reversal of 96460243200 is 234206469.

96460243200 is a `hidden beast` number, since 9 + 6 + 4 + 602 + 43 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-3 number, since 3×96460243200³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 901497547 + ... + 901497653.

Almost surely, 2^96460243200 is an apocalyptic number.

96460243200 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 96460243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188793291456).

96460243200 is an abundant number, since it is smaller than the sum of its proper divisors (281126339712).

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

96460243200 is a wasteful number, since it uses less digits than its factorization.

96460243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 96460243200 its reverse (234206469), we get a palindrome (96694449669).

The spelling of 96460243200 in words is "ninety-six billion, four hundred sixty million, two hundred forty-three thousand, two hundred".