9750516480000 has 960 divisors, whose sum is σ = 36249621408000. Its totient is φ = 2588848128000.

The previous prime is 9750516479969. The next prime is 9750516480041. The reversal of 9750516480000 is 846150579.

9750516480000 is a `hidden beast` number, since 9 + 7 + 50 + 516 + 4 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10609919541 + ... + 10609920459.

It is an arithmetic number, because the mean of its divisors is an integer number (37760022300).

Almost surely, 2^{9750516480000} is an apocalyptic number.

9750516480000 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 9750516480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18124810704000).

9750516480000 is an abundant number, since it is smaller than the sum of its proper divisors (26499104928000).

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

9750516480000 is an equidigital number, since it uses as much as digits as its factorization.

9750516480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 9750516480000 in words is "nine trillion, seven hundred fifty billion, five hundred sixteen million, four hundred eighty thousand".