5200766258688 has 1800 divisors, whose sum is σ = 21387988253016. Its totient is φ = 1246170562560.

The previous prime is 5200766258683. The next prime is 5200766258693. The reversal of 5200766258688 is 8868526670025.

5200766258688 is a `hidden beast` number, since 520 + 0 + 7 + 6 + 6 + 25 + 8 + 6 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (5200766258683) and next prime (5200766258693).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5200766258683) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 3196536531 + ... + 3196538157.

Almost surely, 2^{5200766258688} 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 5200766258688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10693994126508).

5200766258688 is an abundant number, since it is smaller than the sum of its proper divisors (16187221994328).

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

5200766258688 is a wasteful number, since it uses less digits than its factorization.

5200766258688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 5200766258688 in words is "five trillion, two hundred billion, seven hundred sixty-six million, two hundred fifty-eight thousand, six hundred eighty-eight".