268826229360 has 240 divisors, whose sum is σ = 972618873408. Its totient is φ = 66147840000.

The previous prime is 268826229337. The next prime is 268826229361. The reversal of 268826229360 is 63922628862.

268826229360 is a `hidden beast` number, since 2 + 6 + 8 + 8 + 2 + 622 + 9 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 268826229297 and 268826229306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268826229361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46338460 + ... + 46344260.

Almost surely, 2^268826229360 is an apocalyptic number.

268826229360 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 268826229360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486309436704).

268826229360 is an abundant number, since it is smaller than the sum of its proper divisors (703792644048).

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

268826229360 is a wasteful number, since it uses less digits than its factorization.

268826229360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10784 (or 10775 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 268826229360 in words is "two hundred sixty-eight billion, eight hundred twenty-six million, two hundred twenty-nine thousand, three hundred sixty".