268927102080 has 1280 divisors, whose sum is σ = 1195140038400. Its totient is φ = 56112611328.

The previous prime is 268927102069. The next prime is 268927102091. The reversal of 268927102080 is 80201729862.

It is an interprime number because it is at equal distance from previous prime (268927102069) and next prime (268927102091).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 514200699 + ... + 514201221.

It is an arithmetic number, because the mean of its divisors is an integer number (933703155).

Almost surely, 2^268927102080 is an apocalyptic number.

268927102080 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 268927102080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597570019200).

268927102080 is an abundant number, since it is smaller than the sum of its proper divisors (926212936320).

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

268927102080 is a wasteful number, since it uses less digits than its factorization.

268927102080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 268927102080 in words is "two hundred sixty-eight billion, nine hundred twenty-seven million, one hundred two thousand, eighty".