268883251920 has 320 divisors, whose sum is σ = 945048084480. Its totient is φ = 71131737600.

The previous prime is 268883251913. The next prime is 268883251961. The reversal of 268883251920 is 29152388862.

It is a happy number.

268883251920 is a `hidden beast` number, since 26 + 8 + 8 + 83 + 2 + 519 + 20 = 666.

268883251920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 63 ways as a sum of consecutive naturals, for example, 22213870 + ... + 22225970.

It is an arithmetic number, because the mean of its divisors is an integer number (2953275264).

Almost surely, 2^268883251920 is an apocalyptic number.

268883251920 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 268883251920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472524042240).

268883251920 is an abundant number, since it is smaller than the sum of its proper divisors (676164832560).

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

268883251920 is a wasteful number, since it uses less digits than its factorization.

268883251920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12262 (or 12238 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 268883251920 in words is "two hundred sixty-eight billion, eight hundred eighty-three million, two hundred fifty-one thousand, nine hundred twenty".