485160192000 has 1152 divisors, whose sum is σ = 1981159689600. Its totient is φ = 117448704000.

The previous prime is 485160191969. The next prime is 485160192007. The reversal of 485160192000 is 291061584.

485160192000 is a `hidden beast` number, since 48 + 5 + 1 + 601 + 9 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (485160192007) 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, 684287646 + ... + 684288354.

It is an arithmetic number, because the mean of its divisors is an integer number (1719756675).

Almost surely, 2^485160192000 is an apocalyptic number.

485160192000 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 485160192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990579844800).

485160192000 is an abundant number, since it is smaller than the sum of its proper divisors (1495999497600).

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

485160192000 is an equidigital number, since it uses as much as digits as its factorization.

485160192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 485160192000 in words is "four hundred eighty-five billion, one hundred sixty million, one hundred ninety-two thousand".