96800800896 has 160 divisors (see below), whose sum is σ = 288904621500. Its totient is φ = 32174309376.

The previous prime is 96800800853. The next prime is 96800800913. The reversal of 96800800896 is 69800800869.

It can be written as a sum of positive squares in 2 ways, for example, as 89496705600 + 7304095296 = 299160^2 + 85464^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

96800800896 is a strobogrammatic number because it is the same when read upside-down.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3646680 + ... + 3673128.

Almost surely, 2^96800800896 is an apocalyptic number.

96800800896 is a gapful number since it is divisible by the number (96) 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 96800800896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144452310750).

96800800896 is an abundant number, since it is smaller than the sum of its proper divisors (192103820604).

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

96800800896 is a wasteful number, since it uses less digits than its factorization.

96800800896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26828 (or 26807 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 96800800896 in words is "ninety-six billion, eight hundred million, eight hundred thousand, eight hundred ninety-six".