5207833509120 has 576 divisors, whose sum is σ = 21221743334400. Its totient is φ = 1196055797760.

The previous prime is 5207833509103. The next prime is 5207833509181. The reversal of 5207833509120 is 219053387025.

5207833509120 is a `hidden beast` number, since 5 + 20 + 78 + 33 + 509 + 1 + 20 = 666.

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6862539 + ... + 7583541.

It is an arithmetic number, because the mean of its divisors is an integer number (36843304400).

Almost surely, 2^{5207833509120} 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 5207833509120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10610871667200).

5207833509120 is an abundant number, since it is smaller than the sum of its proper divisors (16013909825280).

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

5207833509120 is a wasteful number, since it uses less digits than its factorization.

5207833509120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721063 (or 721043 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 5207833509120 in words is "five trillion, two hundred seven billion, eight hundred thirty-three million, five hundred nine thousand, one hundred twenty".