96893798400 has 2304 divisors, whose sum is σ = 467970048000. Its totient is φ = 19110297600.

The previous prime is 96893798399. The next prime is 96893798453. The reversal of 96893798400 is 489739869.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3125606385 + ... + 3125606415.

It is an arithmetic number, because the mean of its divisors is an integer number (203112000).

Almost surely, 2^96893798400 is an apocalyptic number.

96893798400 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 96893798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233985024000).

96893798400 is an abundant number, since it is smaller than the sum of its proper divisors (371076249600).

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

96893798400 is a wasteful number, since it uses less digits than its factorization.

96893798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 96893798400 in words is "ninety-six billion, eight hundred ninety-three million, seven hundred ninety-eight thousand, four hundred".