896961600000 has 840 divisors, whose sum is σ = 3362937219180. Its totient is φ = 238878720000.

The previous prime is 896961599981. The next prime is 896961600013. The reversal of 896961600000 is 6169698.

It can be written as a sum of positive squares in 6 ways, for example, as 142231562496 + 754730037504 = 377136^2 + 868752^2 .

It is a super-2 number, since 2×896961600000² (a number of 25 digits) contains 22 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1166399616 + ... + 1166400384.

Almost surely, 2^896961600000 is an apocalyptic number.

896961600000 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 896961600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681468609590).

896961600000 is an abundant number, since it is smaller than the sum of its proper divisors (2465975619180).

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

896961600000 is an frugal number, since it uses more digits than its factorization.

896961600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

Adding to 896961600000 its reverse (6169698), we get a palindrome (896967769698).

The spelling of 896961600000 in words is "eight hundred ninety-six billion, nine hundred sixty-one million, six hundred thousand".