268871581440 has 720 divisors, whose sum is σ = 1199501614080. Its totient is φ = 55867760640.

The previous prime is 268871581439. The next prime is 268871581453. The reversal of 268871581440 is 44185178862.

268871581440 is a `hidden beast` number, since 2 + 6 + 88 + 71 + 58 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7966521 + ... + 8000199.

It is an arithmetic number, because the mean of its divisors is an integer number (1665974464).

Almost surely, 2^268871581440 is an apocalyptic number.

268871581440 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 268871581440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599750807040).

268871581440 is an abundant number, since it is smaller than the sum of its proper divisors (930630032640).

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

268871581440 is a wasteful number, since it uses less digits than its factorization.

268871581440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33730 (or 33707 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 268871581440 in words is "two hundred sixty-eight billion, eight hundred seventy-one million, five hundred eighty-one thousand, four hundred forty".