455478266880000 has 5040 divisors, whose sum is σ = 2115402331442400. Its totient is φ = 95455936512000.

The previous prime is 455478266879963. The next prime is 455478266880011. The reversal of 455478266880000 is 88662874554.

455478266880000 is a `hidden beast` number, since 4 + 5 + 5 + 478 + 26 + 68 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 455478266880000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 3056901119926 + ... + 3056901120074.

It is an arithmetic number, because the mean of its divisors is an integer number (419722684810).

Almost surely, 2^{455478266880000} is an apocalyptic number.

455478266880000 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 455478266880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057701165721200).

455478266880000 is an abundant number, since it is smaller than the sum of its proper divisors (1659924064562400).

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

455478266880000 is an frugal number, since it uses more digits than its factorization.

455478266880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 63.

The spelling of 455478266880000 in words is "four hundred fifty-five trillion, four hundred seventy-eight billion, two hundred sixty-six million, eight hundred eighty thousand".