575772480000 has 300 divisors, whose sum is σ = 2076493651518. Its totient is φ = 153538560000.

The previous prime is 575772479981. The next prime is 575772480007. The reversal of 575772480000 is 84277575.

575772480000 is a `hidden beast` number, since 57 + 57 + 72 + 480 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 27153766656 + 548618713344 = 164784^2 + 740688^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (575772480007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2780040 + ... + 2979960.

Almost surely, 2^575772480000 is an apocalyptic number.

575772480000 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 575772480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038246825759).

575772480000 is an abundant number, since it is smaller than the sum of its proper divisors (1500721171518).

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

575772480000 is an equidigital number, since it uses as much as digits as its factorization.

575772480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199965 (or 199931 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 45.

The spelling of 575772480000 in words is "five hundred seventy-five billion, seven hundred seventy-two million, four hundred eighty thousand".