268890495365440 has 448 divisors, whose sum is σ = 714120972364800. Its totient is φ = 95802454573056.

The previous prime is 268890495365341. The next prime is 268890495365489. The reversal of 268890495365440 is 44563594098862.

268890495365440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (73) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20521285929 + ... + 20521299031.

It is an arithmetic number, because the mean of its divisors is an integer number (1594020027600).

Almost surely, 2^{268890495365440} is an apocalyptic number.

268890495365440 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 268890495365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357060486182400).

268890495365440 is an abundant number, since it is smaller than the sum of its proper divisors (445230476999360).

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

268890495365440 is a wasteful number, since it uses less digits than its factorization.

268890495365440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14554 (or 14544 counting only the distinct ones).

The product of its (nonzero) digits is 1791590400, while the sum is 73.

The spelling of 268890495365440 in words is "two hundred sixty-eight trillion, eight hundred ninety billion, four hundred ninety-five million, three hundred sixty-five thousand, four hundred forty".