485601005160 has 384 divisors, whose sum is σ = 1717148160000. Its totient is φ = 118614855168.

The previous prime is 485601005101. The next prime is 485601005161. The reversal of 485601005160 is 61500106584.

485601005160 is a `hidden beast` number, since 4 + 85 + 60 + 1 + 0 + 0 + 516 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (485601005161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26673741 + ... + 26691939.

It is an arithmetic number, because the mean of its divisors is an integer number (4471740000).

Almost surely, 2^485601005160 is an apocalyptic number.

485601005160 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 485601005160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858574080000).

485601005160 is an abundant number, since it is smaller than the sum of its proper divisors (1231547154840).

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

485601005160 is a wasteful number, since it uses less digits than its factorization.

485601005160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18365 (or 18358 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 485601005160 in words is "four hundred eighty-five billion, six hundred one million, five thousand, one hundred sixty".