575344050400 has 288 divisors, whose sum is σ = 1664065492992. Its totient is φ = 190128384000.

The previous prime is 575344050367. The next prime is 575344050451. The reversal of 575344050400 is 4050443575.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 575344050400.

It is a congruent number.

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, 22157425 + ... + 22183375.

It is an arithmetic number, because the mean of its divisors is an integer number (5778005184).

Almost surely, 2^575344050400 is an apocalyptic number.

575344050400 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 575344050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832032746496).

575344050400 is an abundant number, since it is smaller than the sum of its proper divisors (1088721442592).

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

575344050400 is a wasteful number, since it uses less digits than its factorization.

575344050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26122 (or 26109 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 37.

Adding to 575344050400 its reverse (4050443575), we get a palindrome (579394493975).

The spelling of 575344050400 in words is "five hundred seventy-five billion, three hundred forty-four million, fifty thousand, four hundred".