5200107171840 has 2496 divisors, whose sum is σ = 22891058749440. Its totient is φ = 1114767360000.

The previous prime is 5200107171823. The next prime is 5200107171859. The reversal of 5200107171840 is 481717010025.

5200107171840 is a `hidden beast` number, since 520 + 0 + 10 + 71 + 7 + 18 + 40 = 666.

It is a super-2 number, since 2×5200107171840² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5200107171795 and 5200107171804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34437795765 + ... + 34437795915.

Almost surely, 2^{5200107171840} 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 5200107171840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11445529374720).

5200107171840 is an abundant number, since it is smaller than the sum of its proper divisors (17690951577600).

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

5200107171840 is a wasteful number, since it uses less digits than its factorization.

5200107171840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The spelling of 5200107171840 in words is "five trillion, two hundred billion, one hundred seven million, one hundred seventy-one thousand, eight hundred forty".