9953803272960 has 720 divisors, whose sum is σ = 37759560529152. Its totient is φ = 2499268608000.

The previous prime is 9953803272859. The next prime is 9953803272961. The reversal of 9953803272960 is 692723083599.

9953803272960 is a `hidden beast` number, since 9 + 9 + 538 + 0 + 3 + 2 + 7 + 2 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (9953803272961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 118879110 + ... + 118962810.

Almost surely, 2^{9953803272960} is an apocalyptic number.

9953803272960 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 9953803272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18879780264576).

9953803272960 is an abundant number, since it is smaller than the sum of its proper divisors (27805757256192).

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

9953803272960 is a wasteful number, since it uses less digits than its factorization.

9953803272960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83802 (or 83779 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 9953803272960 in words is "nine trillion, nine hundred fifty-three billion, eight hundred three million, two hundred seventy-two thousand, nine hundred sixty".