9752709120000 has 3600 divisors, whose sum is σ = 44810911918080. Its totient is φ = 1857945600000.

The previous prime is 9752709119953. The next prime is 9752709120053. The reversal of 9752709120000 is 219072579.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 314603519985 + ... + 314603520015.

Almost surely, 2^{9752709120000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9752709120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22405455959040).

9752709120000 is an abundant number, since it is smaller than the sum of its proper divisors (35058202798080).

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

9752709120000 is a wasteful number, since it uses less digits than its factorization.

9752709120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 42.

The spelling of 9752709120000 in words is "nine trillion, seven hundred fifty-two billion, seven hundred nine million, one hundred twenty thousand".