9981270000 has 600 divisors, whose sum is σ = 39657618000. Its totient is φ = 2322432000.

The previous prime is 9981269971. The next prime is 9981270023. The reversal of 9981270000 is 721899.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 22229776 + ... + 22230224.

It is an arithmetic number, because the mean of its divisors is an integer number (66096030).

Almost surely, 2^9981270000 is an apocalyptic number.

9981270000 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 9981270000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19828809000).

9981270000 is an abundant number, since it is smaller than the sum of its proper divisors (29676348000).

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

9981270000 is a wasteful number, since it uses less digits than its factorization.

9981270000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 9981270000 is about 99906.3061072723. The cubic root of 9981270000 is about 2153.0887639838.

Adding to 9981270000 its reverse (721899), we get a palindrome (9981991899).

The spelling of 9981270000 in words is "nine billion, nine hundred eighty-one million, two hundred seventy thousand".