268053649920 has 1680 divisors, whose sum is σ = 1186336533888. Its totient is φ = 56853135360.

The previous prime is 268053649867. The next prime is 268053649933. The reversal of 268053649920 is 29946350862.

It is a happy number.

268053649920 is a `hidden beast` number, since 2 + 6 + 80 + 53 + 6 + 499 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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 (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 3775403485 + ... + 3775403555.

Almost surely, 2^268053649920 is an apocalyptic number.

268053649920 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 268053649920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593168266944).

268053649920 is an abundant number, since it is smaller than the sum of its proper divisors (918282883968).

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

268053649920 is an frugal number, since it uses more digits than its factorization.

268053649920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 268053649920 in words is "two hundred sixty-eight billion, fifty-three million, six hundred forty-nine thousand, nine hundred twenty".