896335516800 has 576 divisors, whose sum is σ = 3261514464000. Its totient is φ = 234344448000.

The previous prime is 896335516789. The next prime is 896335516807. The reversal of 896335516800 is 8615533698.

896335516800 is a `hidden beast` number, since 8 + 9 + 6 + 3 + 3 + 551 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (896335516807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 343553896 + ... + 343556504.

It is an arithmetic number, because the mean of its divisors is an integer number (5662351500).

Almost surely, 2^896335516800 is an apocalyptic number.

896335516800 is a gapful number since it is divisible by the number (80) 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 896335516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630757232000).

896335516800 is an abundant number, since it is smaller than the sum of its proper divisors (2365178947200).

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

896335516800 is a wasteful number, since it uses less digits than its factorization.

896335516800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2869 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 896335516800 in words is "eight hundred ninety-six billion, three hundred thirty-five million, five hundred sixteen thousand, eight hundred".