9801894960 has 960 divisors, whose sum is σ = 41493344256. Its totient is φ = 2040422400.

The previous prime is 9801894959. The next prime is 9801894961. The reversal of 9801894960 is 694981089.

It is an interprime number because it is at equal distance from previous prime (9801894959) and next prime (9801894961).

It is a junction number, because it is equal to n+sod(n) for n = 9801894897 and 9801894906.

It is not an unprimeable number, because it can be changed into a prime (9801894961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 118095079 + ... + 118095161.

Almost surely, 2^9801894960 is an apocalyptic number.

9801894960 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 9801894960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20746672128).

9801894960 is an abundant number, since it is smaller than the sum of its proper divisors (31691449296).

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

9801894960 is a wasteful number, since it uses less digits than its factorization.

9801894960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 9801894960 is about 99004.5198968209. The cubic root of 9801894960 is about 2140.1128830896.

The spelling of 9801894960 in words is "nine billion, eight hundred one million, eight hundred ninety-four thousand, nine hundred sixty".