481850588160 has 704 divisors, whose sum is σ = 1778983833600. Its totient is φ = 123553382400.

The previous prime is 481850588137. The next prime is 481850588171. The reversal of 481850588160 is 61885058184.

481850588160 is a `hidden beast` number, since 4 + 8 + 1 + 8 + 50 + 588 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 481850588097 and 481850588106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 981365515 + ... + 981366005.

Almost surely, 2^481850588160 is an apocalyptic number.

481850588160 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 481850588160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889491916800).

481850588160 is an abundant number, since it is smaller than the sum of its proper divisors (1297133245440).

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

481850588160 is a wasteful number, since it uses less digits than its factorization.

481850588160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 54.

The spelling of 481850588160 in words is "four hundred eighty-one billion, eight hundred fifty million, five hundred eighty-eight thousand, one hundred sixty".