5205667500 has 720 divisors, whose sum is σ = 20059079040. Its totient is φ = 1166400000.

The previous prime is 5205667451. The next prime is 5205667507. The reversal of 5205667500 is 57665025.

5205667500 is a `hidden beast` number, since 5 + 20 + 566 + 75 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5205667507) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 126967480 + ... + 126967520.

It is an arithmetic number, because the mean of its divisors is an integer number (27859832).

Almost surely, 2^5205667500 is an apocalyptic number.

5205667500 is a gapful number since it is divisible by the number (50) 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 5205667500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10029539520).

5205667500 is an abundant number, since it is smaller than the sum of its proper divisors (14853411540).

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

5205667500 is a wasteful number, since it uses less digits than its factorization.

5205667500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 5205667500 is about 72150.3118496379. The cubic root of 5205667500 is about 1733.1073937092.

The spelling of 5205667500 in words is "five billion, two hundred five million, six hundred sixty-seven thousand, five hundred".