485805600000 has 2268 divisors, whose sum is σ = 2238312199788. Its totient is φ = 104509440000.

The previous prime is 485805599963. The next prime is 485805600013. The reversal of 485805600000 is 6508584.

It is a happy number.

485805600000 is a `hidden beast` number, since 48 + 5 + 8 + 0 + 5 + 600 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 340626311424 + 145179288576 = 583632^2 + 381024^2 .

It is a tau number, because it is divible by the number of its divisors (2268).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 28576799992 + ... + 28576800008.

It is an arithmetic number, because the mean of its divisors is an integer number (986910141).

Almost surely, 2^485805600000 is an apocalyptic number.

485805600000 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 485805600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119156099894).

485805600000 is an abundant number, since it is smaller than the sum of its proper divisors (1752506599788).

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

485805600000 is an frugal number, since it uses more digits than its factorization.

485805600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 485805600000 in words is "four hundred eighty-five billion, eight hundred five million, six hundred thousand".