5765059200 has 384 divisors, whose sum is σ = 19782483840. Its totient is φ = 1474560000.

The previous prime is 5765059171. The next prime is 5765059213. The reversal of 5765059200 is 29505675.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38179125 + ... + 38179275.

It is an arithmetic number, because the mean of its divisors is an integer number (51516885).

Almost surely, 2^5765059200 is an apocalyptic number.

5765059200 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 5765059200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9891241920).

5765059200 is an abundant number, since it is smaller than the sum of its proper divisors (14017424640).

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

5765059200 is a wasteful number, since it uses less digits than its factorization.

5765059200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 39.

The square root of 5765059200 is about 75927.9869349899. The cubic root of 5765059200 is about 1793.0865673307.

The spelling of 5765059200 in words is "five billion, seven hundred sixty-five million, fifty-nine thousand, two hundred".