486393050880000 has 3600 divisors, whose sum is σ = 2017155495274920. Its totient is φ = 116639170560000.

The previous prime is 486393050879999. The next prime is 486393050880001. The reversal of 486393050880000 is 88050393684.

It is a happy number.

486393050880000 is a `hidden beast` number, since 48 + 6 + 3 + 93 + 0 + 508 + 8 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (486393050879999) and next prime (486393050880001).

It is a tau number, because it is divible by the number of its divisors (3600).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486393050880001) by changing a digit.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 1718703359859 + ... + 1718703360141.

Almost surely, 2^{486393050880000} is an apocalyptic number.

486393050880000 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 486393050880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008577747637460).

486393050880000 is an abundant number, since it is smaller than the sum of its proper divisors (1530762444394920).

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

486393050880000 is a wasteful number, since it uses less digits than its factorization.

486393050880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 486393050880000 in words is "four hundred eighty-six trillion, three hundred ninety-three billion, fifty million, eight hundred eighty thousand".