5765216800 has 288 divisors, whose sum is σ = 17778362112. Its totient is φ = 1778810880.

The previous prime is 5765216761. The next prime is 5765216819. The reversal of 5765216800 is 86125675.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2188284 + ... + 2190916.

It is an arithmetic number, because the mean of its divisors is an integer number (61730424).

Almost surely, 2^5765216800 is an apocalyptic number.

5765216800 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 5765216800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8889181056).

5765216800 is an abundant number, since it is smaller than the sum of its proper divisors (12013145312).

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

5765216800 is a wasteful number, since it uses less digits than its factorization.

5765216800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2700 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The square root of 5765216800 is about 75929.0247533840. The cubic root of 5765216800 is about 1793.1029064441.

The spelling of 5765216800 in words is "five billion, seven hundred sixty-five million, two hundred sixteen thousand, eight hundred".