9167728029120 has 1344 divisors, whose sum is σ = 35188333479936. Its totient is φ = 2263853629440.

The previous prime is 9167728029107. The next prime is 9167728029121. The reversal of 9167728029120 is 219208277619.

9167728029120 is a `hidden beast` number, since 9 + 1 + 6 + 77 + 280 + 291 + 2 + 0 = 666.

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 (9167728029121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33829254585 + ... + 33829254855.

It is an arithmetic number, because the mean of its divisors is an integer number (26181795744).

Almost surely, 2^{9167728029120} is an apocalyptic number.

9167728029120 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 9167728029120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17594166739968).

9167728029120 is an abundant number, since it is smaller than the sum of its proper divisors (26020605450816).

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

9167728029120 is a wasteful number, since it uses less digits than its factorization.

9167728029120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 9167728029120 in words is "nine trillion, one hundred sixty-seven billion, seven hundred twenty-eight million, twenty-nine thousand, one hundred twenty".