9962080873200 has 360 divisors, whose sum is σ = 35295671349120. Its totient is φ = 2601274521600.

The previous prime is 9962080873133. The next prime is 9962080873201. The reversal of 9962080873200 is 23780802699.

It is a happy number.

9962080873200 is a `hidden beast` number, since 9 + 9 + 620 + 8 + 0 + 8 + 7 + 3 + 2 + 0 + 0 = 666.

9962080873200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9962080873201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48869086 + ... + 49072514.

Almost surely, 2^{9962080873200} is an apocalyptic number.

9962080873200 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 9962080873200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17647835674560).

9962080873200 is an abundant number, since it is smaller than the sum of its proper divisors (25333590475920).

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

9962080873200 is a wasteful number, since it uses less digits than its factorization.

9962080873200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203737 (or 203723 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 9962080873200 in words is "nine trillion, nine hundred sixty-two billion, eighty million, eight hundred seventy-three thousand, two hundred".