268202818560 has 352 divisors, whose sum is σ = 885733035264. Its totient is φ = 69222400000.

The previous prime is 268202818529. The next prime is 268202818589. The reversal of 268202818560 is 65818202862.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82496935 + ... + 82500185.

It is an arithmetic number, because the mean of its divisors is an integer number (2516287032).

Almost surely, 2^268202818560 is an apocalyptic number.

268202818560 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 268202818560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442866517632).

268202818560 is an abundant number, since it is smaller than the sum of its proper divisors (617530216704).

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

268202818560 is a wasteful number, since it uses less digits than its factorization.

268202818560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3451 (or 3433 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 268202818560 in words is "two hundred sixty-eight billion, two hundred two million, eight hundred eighteen thousand, five hundred sixty".