5152068904320 has 1536 divisors, whose sum is σ = 21321570816000. Its totient is φ = 1134100611072.

The previous prime is 5152068904289. The next prime is 5152068904331. The reversal of 5152068904320 is 234098602515.

5152068904320 is a `hidden beast` number, since 5 + 1 + 5 + 206 + 8 + 9 + 0 + 432 + 0 = 666.

It is a super-2 number, since 2×5152068904320² (a number of 26 digits) contains 22 as substring.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2585081244 + ... + 2585083236.

It is an arithmetic number, because the mean of its divisors is an integer number (13881231000).

Almost surely, 2^{5152068904320} 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 5152068904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10660785408000).

5152068904320 is an abundant number, since it is smaller than the sum of its proper divisors (16169501911680).

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

5152068904320 is a wasteful number, since it uses less digits than its factorization.

5152068904320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 5152068904320 in words is "five trillion, one hundred fifty-two billion, sixty-eight million, nine hundred four thousand, three hundred twenty".