5070738309120 has 1920 divisors, whose sum is σ = 20800428687360. Its totient is φ = 1175283302400.

The previous prime is 5070738309101. The next prime is 5070738309121. The reversal of 5070738309120 is 219038370705.

It is a happy number.

5070738309120 is a `hidden beast` number, since 507 + 0 + 7 + 3 + 8 + 30 + 91 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-3 number, since 3×5070738309120³ (a number of 39 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5070738309121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61093232599 + ... + 61093232681.

It is an arithmetic number, because the mean of its divisors is an integer number (10833556608).

Almost surely, 2^{5070738309120} 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 5070738309120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10400214343680).

5070738309120 is an abundant number, since it is smaller than the sum of its proper divisors (15729690378240).

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

5070738309120 is an frugal number, since it uses more digits than its factorization.

5070738309120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 5070738309120 in words is "five trillion, seventy billion, seven hundred thirty-eight million, three hundred nine thousand, one hundred twenty".