9969001361280 has 768 divisors, whose sum is σ = 39339688227840. Its totient is φ = 2396819496960.

The previous prime is 9969001361233. The next prime is 9969001361327. The reversal of 9969001361280 is 821631009699.

9969001361280 is a `hidden beast` number, since 9 + 9 + 6 + 9 + 0 + 0 + 13 + 612 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9969001361233) and next prime (9969001361327).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86878345 + ... + 86993015.

It is an arithmetic number, because the mean of its divisors is an integer number (51223552380).

Almost surely, 2^{9969001361280} is an apocalyptic number.

9969001361280 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 9969001361280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19669844113920).

9969001361280 is an abundant number, since it is smaller than the sum of its proper divisors (29370686866560).

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

9969001361280 is a wasteful number, since it uses less digits than its factorization.

9969001361280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114761 (or 114737 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 9969001361280 in words is "nine trillion, nine hundred sixty-nine billion, one million, three hundred sixty-one thousand, two hundred eighty".