485771780200 has 864 divisors, whose sum is σ = 1511610047640. Its totient is φ = 144145612800.

The previous prime is 485771780171. The next prime is 485771780203. The reversal of 485771780200 is 2087177584.

It can be written as a sum of positive squares in 12 ways, for example, as 87335616676 + 398436163524 = 295526^2 + 631218^2 .

It is a super-2 number, since 2×485771780200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (485771780203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2465846502 + ... + 2465846698.

Almost surely, 2^485771780200 is an apocalyptic number.

485771780200 is a gapful number since it is divisible by the number (40) 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 485771780200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755805023820).

485771780200 is an abundant number, since it is smaller than the sum of its proper divisors (1025838267440).

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

485771780200 is a wasteful number, since it uses less digits than its factorization.

485771780200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 878080, while the sum is 49.

The spelling of 485771780200 in words is "four hundred eighty-five billion, seven hundred seventy-one million, seven hundred eighty thousand, two hundred".