268108071000 has 1024 divisors, whose sum is σ = 1121834188800. Its totient is φ = 51600384000.

The previous prime is 268108070953. The next prime is 268108071053. The reversal of 268108071000 is 170801862.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 263108491 + ... + 263109509.

It is an arithmetic number, because the mean of its divisors is an integer number (1095541200).

Almost surely, 2^268108071000 is an apocalyptic number.

268108071000 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 268108071000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560917094400).

268108071000 is an abundant number, since it is smaller than the sum of its proper divisors (853726117800).

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

268108071000 is a wasteful number, since it uses less digits than its factorization.

268108071000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

Adding to 268108071000 its reverse (170801862), we get a palindrome (268278872862).

The spelling of 268108071000 in words is "two hundred sixty-eight billion, one hundred eight million, seventy-one thousand".