9689129280000 has 1200 divisors, whose sum is σ = 36936788144256. Its totient is φ = 2533939200000.

The previous prime is 9689129279953. The next prime is 9689129280037. The reversal of 9689129280000 is 829219869.

It is a tau number, because it is divible by the number of its divisors (1200).

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

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, 4121278825 + ... + 4121281175.

Almost surely, 2^{9689129280000} is an apocalyptic number.

9689129280000 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 9689129280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18468394072128).

9689129280000 is an abundant number, since it is smaller than the sum of its proper divisors (27247658864256).

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

9689129280000 is an frugal number, since it uses more digits than its factorization.

9689129280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 9689129280000 in words is "nine trillion, six hundred eighty-nine billion, one hundred twenty-nine million, two hundred eighty thousand".