9538890117120 has 4368 divisors, whose sum is σ = 46295095583520. Its totient is φ = 1862107398144.

The previous prime is 9538890117077. The next prime is 9538890117121. The reversal of 9538890117120 is 217110988359.

9538890117120 is a `hidden beast` number, since 9 + 5 + 388 + 90 + 1 + 171 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4368).

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

It is not an unprimeable number, because it can be changed into a prime (9538890117121) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 161676103651 + ... + 161676103709.

Almost surely, 2^{9538890117120} is an apocalyptic number.

9538890117120 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 9538890117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23147547791760).

9538890117120 is an abundant number, since it is smaller than the sum of its proper divisors (36756205466400).

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

9538890117120 is a wasteful number, since it uses less digits than its factorization.

9538890117120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 9538890117120 in words is "nine trillion, five hundred thirty-eight billion, eight hundred ninety million, one hundred seventeen thousand, one hundred twenty".