485835917760 has 448 divisors, whose sum is σ = 1764226535040. Its totient is φ = 125769646080.

The previous prime is 485835917753. The next prime is 485835917789. The reversal of 485835917760 is 67719538584.

485835917760 is a `hidden beast` number, since 4 + 8 + 58 + 359 + 177 + 60 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 166551822 + ... + 166554738.

Almost surely, 2^485835917760 is an apocalyptic number.

485835917760 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 485835917760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882113267520).

485835917760 is an abundant number, since it is smaller than the sum of its proper divisors (1278390617280).

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

485835917760 is a wasteful number, since it uses less digits than its factorization.

485835917760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3501 (or 3485 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 485835917760 in words is "four hundred eighty-five billion, eight hundred thirty-five million, nine hundred seventeen thousand, seven hundred sixty".