5207832095040 has 672 divisors, whose sum is σ = 18498271034880. Its totient is φ = 1344245760000.

The previous prime is 5207832095027. The next prime is 5207832095093. The reversal of 5207832095040 is 405902387025.

5207832095040 is a `hidden beast` number, since 52 + 0 + 78 + 3 + 20 + 9 + 504 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 3924514857 + ... + 3924516183.

It is an arithmetic number, because the mean of its divisors is an integer number (27527189040).

Almost surely, 2^{5207832095040} 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 5207832095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9249135517440).

5207832095040 is an abundant number, since it is smaller than the sum of its proper divisors (13290438939840).

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

5207832095040 is a wasteful number, since it uses less digits than its factorization.

5207832095040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 5207832095040 in words is "five trillion, two hundred seven billion, eight hundred thirty-two million, ninety-five thousand, forty".