573890479269120 has 1944 divisors, whose sum is σ = 2223019141519176. Its totient is φ = 136624549920768.

The previous prime is 573890479269103. The next prime is 573890479269127. The reversal of 573890479269120 is 21962974098375.

573890479269120 is a `hidden beast` number, since 5 + 7 + 3 + 8 + 9 + 0 + 479 + 26 + 9 + 120 = 666.

It can be written as a sum of positive squares in 36 ways, for example, as 147163296063744 + 426727183205376 = 12131088^2 + 20657376^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (573890479269127) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 525059907294 + ... + 525059908386.

It is an arithmetic number, because the mean of its divisors is an integer number (1143528364979).

It is a 1-persistent number, because it is pandigital, but 2⋅573890479269120 = 1147780958538240 is not.

Almost surely, 2^{573890479269120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 573890479269120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111509570759588).

573890479269120 is an abundant number, since it is smaller than the sum of its proper divisors (1649128662250056).

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

573890479269120 is a wasteful number, since it uses less digits than its factorization.

573890479269120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 573890479269120 in words is "five hundred seventy-three trillion, eight hundred ninety billion, four hundred seventy-nine million, two hundred sixty-nine thousand, one hundred twenty".