9416160299520 has 1280 divisors, whose sum is σ = 37419604992000. Its totient is φ = 2229469249536.

The previous prime is 9416160299501. The next prime is 9416160299527. The reversal of 9416160299520 is 259920616149.

9416160299520 is a `hidden beast` number, since 9 + 4 + 1 + 6 + 1 + 602 + 9 + 9 + 5 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×9416160299520² (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 not an unprimeable number, because it can be changed into a prime (9416160299527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2491704991 + ... + 2491708769.

It is an arithmetic number, because the mean of its divisors is an integer number (29234066400).

Almost surely, 2^{9416160299520} is an apocalyptic number.

9416160299520 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 9416160299520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18709802496000).

9416160299520 is an abundant number, since it is smaller than the sum of its proper divisors (28003444692480).

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

9416160299520 is a wasteful number, since it uses less digits than its factorization.

9416160299520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3930 (or 3908 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 9416160299520 in words is "nine trillion, four hundred sixteen billion, one hundred sixty million, two hundred ninety-nine thousand, five hundred twenty".