5715712800 has 648 divisors, whose sum is σ = 24850854756. Its totient is φ = 1228308480.

The previous prime is 5715712781. The next prime is 5715712801. The reversal of 5715712800 is 82175175.

5715712800 is a `hidden beast` number, since 5 + 7 + 1 + 571 + 2 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2651426064 + 3064286736 = 51492^2 + 55356^2 .

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 (5715712801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5997124 + ... + 5998076.

Almost surely, 2^5715712800 is an apocalyptic number.

5715712800 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 5715712800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12425427378).

5715712800 is an abundant number, since it is smaller than the sum of its proper divisors (19135141956).

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

5715712800 is a wasteful number, since it uses less digits than its factorization.

5715712800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

The square root of 5715712800 is about 75602.3332973262. Note that the first 3 decimals coincide. The cubic root of 5715712800 is about 1787.9558867846.

Adding to 5715712800 its reverse (82175175), we get a palindrome (5797887975).

The spelling of 5715712800 in words is "five billion, seven hundred fifteen million, seven hundred twelve thousand, eight hundred".