268284485520 has 360 divisors, whose sum is σ = 966550728312. Its totient is φ = 66662092800.

The previous prime is 268284485509. The next prime is 268284485543. The reversal of 268284485520 is 25584482862.

268284485520 is a `hidden beast` number, since 2 + 6 + 8 + 2 + 84 + 4 + 8 + 552 + 0 = 666.

268284485520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4647421584 + 263637063936 = 68172^2 + 513456^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15846660 + ... + 15863580.

Almost surely, 2^268284485520 is an apocalyptic number.

268284485520 is a gapful number since it is divisible by the number (20) 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 268284485520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483275364156).

268284485520 is an abundant number, since it is smaller than the sum of its proper divisors (698266242792).

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

268284485520 is a wasteful number, since it uses less digits than its factorization.

268284485520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17039 (or 17011 counting only the distinct ones).

The product of its (nonzero) digits is 9830400, while the sum is 54.

The spelling of 268284485520 in words is "two hundred sixty-eight billion, two hundred eighty-four million, four hundred eighty-five thousand, five hundred twenty".