9972128285280 has 2304 divisors, whose sum is σ = 43877640038400. Its totient is φ = 2091645960192.

The previous prime is 9972128285263. The next prime is 9972128285281. The reversal of 9972128285280 is 825828212799.

9972128285280 is a `hidden beast` number, since 9 + 9 + 7 + 21 + 2 + 82 + 8 + 528 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9972128285281) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 102805446192 + ... + 102805446288.

It is an arithmetic number, because the mean of its divisors is an integer number (19044114600).

Almost surely, 2^{9972128285280} is an apocalyptic number.

9972128285280 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 9972128285280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21938820019200).

9972128285280 is an abundant number, since it is smaller than the sum of its proper divisors (33905511753120).

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

9972128285280 is an equidigital number, since it uses as much as digits as its factorization.

9972128285280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 9972128285280 in words is "nine trillion, nine hundred seventy-two billion, one hundred twenty-eight million, two hundred eighty-five thousand, two hundred eighty".