9752452881120 has 384 divisors, whose sum is σ = 34374017018880. Its totient is φ = 2582387619840.

The previous prime is 9752452881107. The next prime is 9752452881121. The reversal of 9752452881120 is 211882542579.

It is a happy number.

9752452881120 is a `hidden beast` number, since 9 + 7 + 5 + 24 + 528 + 81 + 12 + 0 = 666.

It is a super-2 number, since 2×9752452881120² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9752452881121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 445082965 + ... + 445104875.

It is an arithmetic number, because the mean of its divisors is an integer number (89515669320).

Almost surely, 2^{9752452881120} is an apocalyptic number.

9752452881120 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 9752452881120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17187008509440).

9752452881120 is an abundant number, since it is smaller than the sum of its proper divisors (24621564137760).

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

9752452881120 is a wasteful number, since it uses less digits than its factorization.

9752452881120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22655 (or 22641 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 9752452881120 in words is "nine trillion, seven hundred fifty-two billion, four hundred fifty-two million, eight hundred eighty-one thousand, one hundred twenty".