268001802860544 has 288 divisors, whose sum is σ = 780509381652000. Its totient is φ = 88589066895360.

The previous prime is 268001802860531. The next prime is 268001802860549. The reversal of 268001802860544 is 445068208100862.

268001802860544 is a `hidden beast` number, since 2 + 6 + 8 + 0 + 0 + 1 + 8 + 0 + 28 + 605 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×268001802860544² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268001802860549) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1683443989 + ... + 1683603179.

It is an arithmetic number, because the mean of its divisors is an integer number (2710102019625).

Almost surely, 2^{268001802860544} is an apocalyptic number.

268001802860544 is a gapful number since it is divisible by the number (24) 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 268001802860544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390254690826000).

268001802860544 is an abundant number, since it is smaller than the sum of its proper divisors (512507578791456).

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

268001802860544 is a wasteful number, since it uses less digits than its factorization.

268001802860544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159981 (or 159958 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 268001802860544 in words is "two hundred sixty-eight trillion, one billion, eight hundred two million, eight hundred sixty thousand, five hundred forty-four".