5168769120 has 432 divisors, whose sum is σ = 19036875312. Its totient is φ = 1276508160.

The previous prime is 5168769113. The next prime is 5168769173. The reversal of 5168769120 is 219678615.

5168769120 is a `hidden beast` number, since 516 + 8 + 7 + 6 + 9 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31710159 + ... + 31710321.

It is an arithmetic number, because the mean of its divisors is an integer number (44066841).

Almost surely, 2^5168769120 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 5168769120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9518437656).

5168769120 is an abundant number, since it is smaller than the sum of its proper divisors (13868106192).

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

5168769120 is a wasteful number, since it uses less digits than its factorization.

5168769120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 5168769120 is about 71894.1521961279. The cubic root of 5168769120 is about 1729.0028579432.

The spelling of 5168769120 in words is "five billion, one hundred sixty-eight million, seven hundred sixty-nine thousand, one hundred twenty".