96803251200 has 528 divisors, whose sum is σ = 363867514560. Its totient is φ = 25206128640.

The previous prime is 96803251159. The next prime is 96803251211. The reversal of 96803251200 is 215230869.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29719972 + ... + 29723228.

It is an arithmetic number, because the mean of its divisors is an integer number (689143020).

Almost surely, 2^96803251200 is an apocalyptic number.

96803251200 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 96803251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181933757280).

96803251200 is an abundant number, since it is smaller than the sum of its proper divisors (267064263360).

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

96803251200 is a wasteful number, since it uses less digits than its factorization.

96803251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3339 (or 3310 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 96803251200 in words is "ninety-six billion, eight hundred three million, two hundred fifty-one thousand, two hundred".