5072830347312 has 400 divisors, whose sum is σ = 19133428007232. Its totient is φ = 1259189452800.

The previous prime is 5072830347283. The next prime is 5072830347323. The reversal of 5072830347312 is 2137430382705.

It is a happy number.

5072830347312 is a `hidden beast` number, since 5 + 0 + 7 + 28 + 303 + 4 + 7 + 312 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 739812 + ... + 3270012.

Almost surely, 2^{5072830347312} is an apocalyptic number.

5072830347312 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5072830347312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9566714003616).

5072830347312 is an abundant number, since it is smaller than the sum of its proper divisors (14060597659920).

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

5072830347312 is a wasteful number, since it uses less digits than its factorization.

5072830347312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2530258 (or 2530243 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 5072830347312 in words is "five trillion, seventy-two billion, eight hundred thirty million, three hundred forty-seven thousand, three hundred twelve".