9489735375120 has 1920 divisors, whose sum is σ = 45305260277760. Its totient is φ = 1794369024000.

The previous prime is 9489735375067. The next prime is 9489735375137. The reversal of 9489735375120 is 215735379849.

9489735375120 is a `hidden beast` number, since 9 + 4 + 8 + 9 + 73 + 537 + 5 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1074589105 + ... + 1074597935.

It is an arithmetic number, because the mean of its divisors is an integer number (23596489728).

Almost surely, 2^{9489735375120} is an apocalyptic number.

9489735375120 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 9489735375120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22652630138880).

9489735375120 is an abundant number, since it is smaller than the sum of its proper divisors (35815524902640).

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

9489735375120 is a wasteful number, since it uses less digits than its factorization.

9489735375120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8962 (or 8943 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 9489735375120 in words is "nine trillion, four hundred eighty-nine billion, seven hundred thirty-five million, three hundred seventy-five thousand, one hundred twenty".