916728789120 has 256 divisors, whose sum is σ = 3131533889280. Its totient is φ = 227512074240.

The previous prime is 916728789077. The next prime is 916728789161. The reversal of 916728789120 is 21987827619.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1353390 + ... + 1914450.

It is an arithmetic number, because the mean of its divisors is an integer number (12232554255).

Almost surely, 2^916728789120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 916728789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565766944640).

916728789120 is an abundant number, since it is smaller than the sum of its proper divisors (2214805100160).

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

916728789120 is a wasteful number, since it uses less digits than its factorization.

916728789120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561143 (or 561131 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 60.

The spelling of 916728789120 in words is "nine hundred sixteen billion, seven hundred twenty-eight million, seven hundred eighty-nine thousand, one hundred twenty".