5115789169920 has 2304 divisors, whose sum is σ = 22200869698560. Its totient is φ = 1098842112000.

The previous prime is 5115789169889. The next prime is 5115789169943. The reversal of 5115789169920 is 299619875115.

5115789169920 is a `hidden beast` number, since 51 + 1 + 578 + 9 + 1 + 6 + 9 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 18468552822 + ... + 18468553098.

It is an arithmetic number, because the mean of its divisors is an integer number (9635794140).

Almost surely, 2^{5115789169920} 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 5115789169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11100434849280).

5115789169920 is an abundant number, since it is smaller than the sum of its proper divisors (17085080528640).

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

5115789169920 is a wasteful number, since it uses less digits than its factorization.

5115789169920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 63.

The spelling of 5115789169920 in words is "five trillion, one hundred fifteen billion, seven hundred eighty-nine million, one hundred sixty-nine thousand, nine hundred twenty".