96709784371200 has 5400 divisors, whose sum is σ = 492327114354900. Its totient is φ = 18549728870400.

The previous prime is 96709784371159. The next prime is 96709784371243. The reversal of 96709784371200 is 217348790769.

96709784371200 is a `hidden beast` number, since 9 + 6 + 7 + 0 + 9 + 78 + 437 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5400).

It is a super-3 number, since 3×96709784371200³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 7439214182394 + ... + 7439214182406.

Almost surely, 2^{96709784371200} is an apocalyptic number.

96709784371200 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 96709784371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246163557177450).

96709784371200 is an abundant number, since it is smaller than the sum of its proper divisors (395617329983700).

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

96709784371200 is an equidigital number, since it uses as much as digits as its factorization.

96709784371200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 96709784371200 in words is "ninety-six trillion, seven hundred nine billion, seven hundred eighty-four million, three hundred seventy-one thousand, two hundred".