96809128200 has 576 divisors, whose sum is σ = 359334144000. Its totient is φ = 23247544320.

The previous prime is 96809128181. The next prime is 96809128219. The reversal of 96809128200 is 282190869.

It is an interprime number because it is at equal distance from previous prime (96809128181) and next prime (96809128219).

It is a super-3 number, since 3×96809128200³ (a number of 34 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 112699371 + ... + 112700229.

It is an arithmetic number, because the mean of its divisors is an integer number (623844000).

Almost surely, 2^96809128200 is an apocalyptic number.

96809128200 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 96809128200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179667072000).

96809128200 is an abundant number, since it is smaller than the sum of its proper divisors (262525015800).

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

96809128200 is a wasteful number, since it uses less digits than its factorization.

96809128200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 96809128200 in words is "ninety-six billion, eight hundred nine million, one hundred twenty-eight thousand, two hundred".