5200211657592 has 192 divisors, whose sum is σ = 16534885985280. Its totient is φ = 1445271641856.

The previous prime is 5200211657569. The next prime is 5200211657633. The reversal of 5200211657592 is 2957561120025.

5200211657592 is a `hidden beast` number, since 5 + 2 + 0 + 0 + 2 + 1 + 1 + 6 + 57 + 592 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83194783 + ... + 83257265.

It is an arithmetic number, because the mean of its divisors is an integer number (86119197840).

Almost surely, 2^{5200211657592} 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 5200211657592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8267442992640).

5200211657592 is an abundant number, since it is smaller than the sum of its proper divisors (11334674327688).

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

5200211657592 is a wasteful number, since it uses less digits than its factorization.

5200211657592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67002 (or 66995 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 5200211657592 in words is "five trillion, two hundred billion, two hundred eleven million, six hundred fifty-seven thousand, five hundred ninety-two".