575942400000 has 1440 divisors, whose sum is σ = 2368933847280. Its totient is φ = 138240000000.

The previous prime is 575942399993. The next prime is 575942400001. The reversal of 575942400000 is 4249575.

575942400000 is a `hidden beast` number, since 575 + 9 + 42 + 40 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 (575942400001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5702399950 + ... + 5702400050.

Almost surely, 2^575942400000 is an apocalyptic number.

575942400000 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 575942400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184466923640).

575942400000 is an abundant number, since it is smaller than the sum of its proper divisors (1792991447280).

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

575942400000 is an equidigital number, since it uses as much as digits as its factorization.

575942400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 122 counting only the distinct ones).

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

Adding to 575942400000 its reverse (4249575), we get a palindrome (575946649575).

The spelling of 575942400000 in words is "five hundred seventy-five billion, nine hundred forty-two million, four hundred thousand".