5765126400 has 648 divisors, whose sum is σ = 23387398944. Its totient is φ = 1393459200.

The previous prime is 5765126383. The next prime is 5765126407. The reversal of 5765126400 is 46215675.

It is a happy number.

5765126400 is a `hidden beast` number, since 5 + 7 + 6 + 5 + 1 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is not an unprimeable number, because it can be changed into a prime (5765126407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17107032 + ... + 17107368.

Almost surely, 2^5765126400 is an apocalyptic number.

5765126400 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 5765126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11693699472).

5765126400 is an abundant number, since it is smaller than the sum of its proper divisors (17622272544).

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

5765126400 is a wasteful number, since it uses less digits than its factorization.

5765126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5765126400 is about 75928.4294582734. The cubic root of 5765126400 is about 1793.0935342987.

The spelling of 5765126400 in words is "five billion, seven hundred sixty-five million, one hundred twenty-six thousand, four hundred".