485906688000 has 1152 divisors, whose sum is σ = 1858383596160. Its totient is φ = 126605721600.

The previous prime is 485906687989. The next prime is 485906688011. The reversal of 485906688000 is 886609584.

It is a happy number.

485906688000 is a `hidden beast` number, since 48 + 590 + 6 + 6 + 8 + 8 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (485906687989) and next prime (485906688011).

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

It is a super-2 number, since 2×485906688000² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4541183947 + ... + 4541184053.

It is an arithmetic number, because the mean of its divisors is an integer number (1613180205).

Almost surely, 2^485906688000 is an apocalyptic number.

485906688000 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 485906688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929191798080).

485906688000 is an abundant number, since it is smaller than the sum of its proper divisors (1372476908160).

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

485906688000 is an equidigital number, since it uses as much as digits as its factorization.

485906688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 485906688000 in words is "four hundred eighty-five billion, nine hundred six million, six hundred eighty-eight thousand".