9971049715200 has 1680 divisors, whose sum is σ = 42556441900896. Its totient is φ = 2266959052800.

The previous prime is 9971049715189. The next prime is 9971049715219. The reversal of 9971049715200 is 25179401799.

9971049715200 is a `hidden beast` number, since 9 + 9 + 7 + 1 + 0 + 49 + 71 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×9971049715200² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 19138290940 + ... + 19138291460.

Almost surely, 2^{9971049715200} is an apocalyptic number.

9971049715200 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 9971049715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21278220950448).

9971049715200 is an abundant number, since it is smaller than the sum of its proper divisors (32585392185696).

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

9971049715200 is an equidigital number, since it uses as much as digits as its factorization.

9971049715200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 54.

The spelling of 9971049715200 in words is "nine trillion, nine hundred seventy-one billion, forty-nine million, seven hundred fifteen thousand, two hundred".