9899641265760 has 288 divisors, whose sum is σ = 33852471149952. Its totient is φ = 2634444288000.

The previous prime is 9899641265753. The next prime is 9899641265777. The reversal of 9899641265760 is 675621469989.

9899641265760 is a `hidden beast` number, since 9 + 8 + 9 + 9 + 6 + 41 + 2 + 6 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2029860442 + ... + 2029865318.

It is an arithmetic number, because the mean of its divisors is an integer number (117543302604).

Almost surely, 2^{9899641265760} is an apocalyptic number.

9899641265760 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 9899641265760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16926235574976).

9899641265760 is an abundant number, since it is smaller than the sum of its proper divisors (23952829884192).

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

9899641265760 is a wasteful number, since it uses less digits than its factorization.

9899641265760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7526 (or 7515 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 9899641265760 in words is "nine trillion, eight hundred ninety-nine billion, six hundred forty-one million, two hundred sixty-five thousand, seven hundred sixty".