573045580800 has 2640 divisors, whose sum is σ = 2745021890688. Its totient is φ = 114661785600.

The previous prime is 573045580787. The next prime is 573045580801. The reversal of 573045580800 is 8085540375.

It is a tau number, because it is divible by the number of its divisors (2640).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (573045580801) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5907686352 + ... + 5907686448.

Almost surely, 2^573045580800 is an apocalyptic number.

573045580800 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 573045580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372510945344).

573045580800 is an abundant number, since it is smaller than the sum of its proper divisors (2171976309888).

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

573045580800 is a wasteful number, since it uses less digits than its factorization.

573045580800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 573045580800 in words is "five hundred seventy-three billion, forty-five million, five hundred eighty thousand, eight hundred".