5206166784 has 720 divisors, whose sum is σ = 19944207360. Its totient is φ = 1313832960.

The previous prime is 5206166759. The next prime is 5206166809. The reversal of 5206166784 is 4876616025.

5206166784 is a `hidden beast` number, since 5 + 20 + 616 + 6 + 7 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5206166759) and next prime (5206166809).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 58496212 + ... + 58496300.

It is an arithmetic number, because the mean of its divisors is an integer number (27700288).

Almost surely, 2^5206166784 is an apocalyptic number.

5206166784 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5206166784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9972103680).

5206166784 is an abundant number, since it is smaller than the sum of its proper divisors (14738040576).

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

5206166784 is a wasteful number, since it uses less digits than its factorization.

5206166784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 5206166784 is about 72153.7717933027. The cubic root of 5206166784 is about 1733.1628003168.

The spelling of 5206166784 in words is "five billion, two hundred six million, one hundred sixty-six thousand, seven hundred eighty-four".