268200097654888 has 192 divisors, whose sum is σ = 601352163720000. Its totient is φ = 111771147801600.

The previous prime is 268200097654883. The next prime is 268200097655011. The reversal of 268200097654888 is 888456790002862.

It is a self number, because there is not a number n which added to its sum of digits gives 268200097654888.

It is not an unprimeable number, because it can be changed into a prime (268200097654883) 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, 1515003643 + ... + 1515180661.

It is an arithmetic number, because the mean of its divisors is an integer number (3132042519375).

Almost surely, 2^{268200097654888} is an apocalyptic number.

268200097654888 is a gapful number since it is divisible by the number (28) 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 268200097654888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300676081860000).

268200097654888 is an abundant number, since it is smaller than the sum of its proper divisors (333152066065112).

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

268200097654888 is a wasteful number, since it uses less digits than its factorization.

268200097654888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177808 (or 177797 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 73.

The spelling of 268200097654888 in words is "two hundred sixty-eight trillion, two hundred billion, ninety-seven million, six hundred fifty-four thousand, eight hundred eighty-eight".