268889483520 has 1728 divisors, whose sum is σ = 1196210937600. Its totient is φ = 56853135360.

The previous prime is 268889483503. The next prime is 268889483537. The reversal of 268889483520 is 25384988862.

268889483520 is a `hidden beast` number, since 2 + 68 + 8 + 8 + 9 + 48 + 3 + 520 = 666.

268889483520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (268889483503) and next prime (268889483537).

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 1962696892 + ... + 1962697028.

It is an arithmetic number, because the mean of its divisors is an integer number (692251700).

Almost surely, 2^268889483520 is an apocalyptic number.

268889483520 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 268889483520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598105468800).

268889483520 is an abundant number, since it is smaller than the sum of its proper divisors (927321454080).

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

268889483520 is a wasteful number, since it uses less digits than its factorization.

268889483520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 268889483520 in words is "two hundred sixty-eight billion, eight hundred eighty-nine million, four hundred eighty-three thousand, five hundred twenty".