9838501989120 has 2160 divisors, whose sum is σ = 43376781238560. Its totient is φ = 2119395704832.

The previous prime is 9838501989067. The next prime is 9838501989137. The reversal of 9838501989120 is 219891058389.

9838501989120 is a `hidden beast` number, since 9 + 8 + 38 + 501 + 9 + 8 + 91 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×9838501989120² (a number of 27 digits) contains 22 as substring.

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 239 ways as a sum of consecutive naturals, for example, 6335158264 + ... + 6335159816.

It is an arithmetic number, because the mean of its divisors is an integer number (20081843166).

Almost surely, 2^{9838501989120} is an apocalyptic number.

9838501989120 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 9838501989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21688390619280).

9838501989120 is an abundant number, since it is smaller than the sum of its proper divisors (33538279249440).

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

9838501989120 is a wasteful number, since it uses less digits than its factorization.

9838501989120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 63.

The spelling of 9838501989120 in words is "nine trillion, eight hundred thirty-eight billion, five hundred one million, nine hundred eighty-nine thousand, one hundred twenty".