1979228507616 has 288 divisors, whose sum is σ = 5844412828800. Its totient is φ = 634841238528.

The previous prime is 1979228507587. The next prime is 1979228507629. The reversal of 1979228507616 is 6167058229791.

1979228507616 is a `hidden beast` number, since 1 + 9 + 7 + 9 + 2 + 2 + 8 + 5 + 0 + 7 + 616 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 942937735 + ... + 942939833.

It is an arithmetic number, because the mean of its divisors is an integer number (20293100100).

Almost surely, 2^{1979228507616} is an apocalyptic number.

1979228507616 is a gapful number since it is divisible by the number (16) 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 1979228507616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2922206414400).

1979228507616 is an abundant number, since it is smaller than the sum of its proper divisors (3865184321184).

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

1979228507616 is a wasteful number, since it uses less digits than its factorization.

1979228507616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3086 (or 3075 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 1979228507616 in words is "one trillion, nine hundred seventy-nine billion, two hundred twenty-eight million, five hundred seven thousand, six hundred sixteen".