9805471319952 has 960 divisors, whose sum is σ = 36341968965120. Its totient is φ = 2393395200000.

The previous prime is 9805471319893. The next prime is 9805471319957. The reversal of 9805471319952 is 2599131745089.

9805471319952 is a `hidden beast` number, since 9 + 8 + 0 + 547 + 1 + 31 + 9 + 9 + 52 = 666.

It is a super-2 number, since 2×9805471319952² (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 9805471319952.

It is not an unprimeable number, because it can be changed into a prime (9805471319957) 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, 9241725502 + ... + 9241726562.

It is an arithmetic number, because the mean of its divisors is an integer number (37856217672).

Almost surely, 2^{9805471319952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9805471319952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18170984482560).

9805471319952 is an abundant number, since it is smaller than the sum of its proper divisors (26536497645168).

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

9805471319952 is a wasteful number, since it uses less digits than its factorization.

9805471319952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 63.

The spelling of 9805471319952 in words is "nine trillion, eight hundred five billion, four hundred seventy-one million, three hundred nineteen thousand, nine hundred fifty-two".