927116920224 has 288 divisors, whose sum is σ = 2990099810880. Its totient is φ = 280247040000.

The previous prime is 927116920133. The next prime is 927116920229. The reversal of 927116920224 is 422029611729.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 927116920224.

It is not an unprimeable number, because it can be changed into a prime (927116920229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34970974 + ... + 34997474.

It is an arithmetic number, because the mean of its divisors is an integer number (10382291010).

Almost surely, 2^927116920224 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 927116920224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495049905440).

927116920224 is an abundant number, since it is smaller than the sum of its proper divisors (2062982890656).

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

927116920224 is a wasteful number, since it uses less digits than its factorization.

927116920224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26946 (or 26926 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 927116920224 in words is "nine hundred twenty-seven billion, one hundred sixteen million, nine hundred twenty thousand, two hundred twenty-four".