9806925260160 has 3456 divisors, whose sum is σ = 44712551651040. Its totient is φ = 2046712872960.

The previous prime is 9806925260149. The next prime is 9806925260191. The reversal of 9806925260160 is 610625296089.

It is a happy number.

9806925260160 is a `hidden beast` number, since 9 + 8 + 0 + 6 + 9 + 25 + 2 + 601 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a junction number, because it is equal to n+sod(n) for n = 9806925260097 and 9806925260106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 134341441884 + ... + 134341441956.

Almost surely, 2^{9806925260160} is an apocalyptic number.

9806925260160 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 9806925260160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22356275825520).

9806925260160 is an abundant number, since it is smaller than the sum of its proper divisors (34905626390880).

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

9806925260160 is a wasteful number, since it uses less digits than its factorization.

9806925260160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 9806925260160 in words is "nine trillion, eight hundred six billion, nine hundred twenty-five million, two hundred sixty thousand, one hundred sixty".