486813196800 has 2880 divisors, whose sum is σ = 2342702736000. Its totient is φ = 98099527680.

The previous prime is 486813196759. The next prime is 486813196801. The reversal of 486813196800 is 8691318684.

486813196800 is a `hidden beast` number, since 486 + 81 + 3 + 1 + 9 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is not an unprimeable number, because it can be changed into a prime (486813196801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5469811156 + ... + 5469811244.

It is an arithmetic number, because the mean of its divisors is an integer number (813438450).

Almost surely, 2^486813196800 is an apocalyptic number.

486813196800 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 486813196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171351368000).

486813196800 is an abundant number, since it is smaller than the sum of its proper divisors (1855889539200).

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

486813196800 is a wasteful number, since it uses less digits than its factorization.

486813196800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 486813196800 in words is "four hundred eighty-six billion, eight hundred thirteen million, one hundred ninety-six thousand, eight hundred".