5729146200 has 480 divisors, whose sum is σ = 21438315360. Its totient is φ = 1412812800.

The previous prime is 5729146117. The next prime is 5729146249. The reversal of 5729146200 is 26419275.

5729146200 is a `hidden beast` number, since 5 + 7 + 29 + 1 + 4 + 620 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 19553254 + ... + 19553546.

It is an arithmetic number, because the mean of its divisors is an integer number (44663157).

Almost surely, 2^5729146200 is an apocalyptic number.

5729146200 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 5729146200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10719157680).

5729146200 is an abundant number, since it is smaller than the sum of its proper divisors (15709169160).

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

5729146200 is a wasteful number, since it uses less digits than its factorization.

5729146200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5729146200 is about 75691.1236539662. The cubic root of 5729146200 is about 1789.3555101012.

The spelling of 5729146200 in words is "five billion, seven hundred twenty-nine million, one hundred forty-six thousand, two hundred".