5070309304320 has 576 divisors, whose sum is σ = 19184104452240. Its totient is φ = 1230957969408.

The previous prime is 5070309304289. The next prime is 5070309304327. The reversal of 5070309304320 is 234039030705.

5070309304320 is a `hidden beast` number, since 507 + 0 + 3 + 0 + 93 + 0 + 43 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 565455873024 + 4504853431296 = 751968^2 + 2122464^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5070309304327) 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, 87430854 + ... + 87488826.

Almost surely, 2^{5070309304320} 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 5070309304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9592052226120).

5070309304320 is an abundant number, since it is smaller than the sum of its proper divisors (14113795147920).

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

5070309304320 is a wasteful number, since it uses less digits than its factorization.

5070309304320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58092 (or 58069 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The spelling of 5070309304320 in words is "five trillion, seventy billion, three hundred nine million, three hundred four thousand, three hundred twenty".