268135615440 has 800 divisors, whose sum is σ = 1167877751040. Its totient is φ = 55390003200.

The previous prime is 268135615439. The next prime is 268135615453. The reversal of 268135615440 is 44516531862.

268135615440 is a `hidden beast` number, since 2 + 6 + 81 + 3 + 561 + 5 + 4 + 4 + 0 = 666.

268135615440 is digitally balanced in base 2 and base 3, because in such bases 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 (45).

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 159 ways as a sum of consecutive naturals, for example, 90310276 + ... + 90313244.

Almost surely, 2^268135615440 is an apocalyptic number.

268135615440 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 268135615440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583938875520).

268135615440 is an abundant number, since it is smaller than the sum of its proper divisors (899742135600).

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

268135615440 is a wasteful number, since it uses less digits than its factorization.

268135615440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3193 (or 3178 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 268135615440 in words is "two hundred sixty-eight billion, one hundred thirty-five million, six hundred fifteen thousand, four hundred forty".