572799054340800 has 1008 divisors, whose sum is σ = 2445060503255040. Its totient is φ = 130058369280000.

The previous prime is 572799054340771. The next prime is 572799054340801. The reversal of 572799054340800 is 8043450997275.

572799054340800 is a `hidden beast` number, since 5 + 7 + 2 + 7 + 9 + 9 + 0 + 543 + 4 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (572799054340801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 318740785 + ... + 320532815.

Almost surely, 2^{572799054340800} is an apocalyptic number.

572799054340800 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 572799054340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222530251627520).

572799054340800 is an abundant number, since it is smaller than the sum of its proper divisors (1872261448914240).

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

572799054340800 is a wasteful number, since it uses less digits than its factorization.

572799054340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792227 (or 1792199 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 572799054340800 in words is "five hundred seventy-two trillion, seven hundred ninety-nine billion, fifty-four million, three hundred forty thousand, eight hundred".