268838092800 has 1080 divisors, whose sum is σ = 1039716832336. Its totient is φ = 68797071360.

The previous prime is 268838092777. The next prime is 268838092811. The reversal of 268838092800 is 8290838862.

268838092800 is a `hidden beast` number, since 26 + 88 + 380 + 92 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3682713564 + ... + 3682713636.

Almost surely, 2^268838092800 is an apocalyptic number.

268838092800 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 268838092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519858416168).

268838092800 is an abundant number, since it is smaller than the sum of its proper divisors (770878739536).

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

268838092800 is an frugal number, since it uses more digits than its factorization.

268838092800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 268838092800 in words is "two hundred sixty-eight billion, eight hundred thirty-eight million, ninety-two thousand, eight hundred".