268462200505440 has 96 divisors (see below), whose sum is σ = 848357708206176. Its totient is φ = 71361198305280.

The previous prime is 268462200505417. The next prime is 268462200505441. The reversal of 268462200505440 is 44505002264862.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 268462200505440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268462200505441) 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 15 ways as a sum of consecutive naturals, for example, 893294251 + ... + 893594730.

It is an arithmetic number, because the mean of its divisors is an integer number (8837059460481).

Almost surely, 2^{268462200505440} is an apocalyptic number.

268462200505440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268462200505440 is an abundant number, since it is smaller than the sum of its proper divisors (579895507700736).

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

268462200505440 is a wasteful number, since it uses less digits than its factorization.

268462200505440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786889312 (or 1786889304 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 48.

The spelling of 268462200505440 in words is "two hundred sixty-eight trillion, four hundred sixty-two billion, two hundred million, five hundred five thousand, four hundred forty".