268429105920 has 576 divisors, whose sum is σ = 925686720000. Its totient is φ = 66089779200.

The previous prime is 268429105877. The next prime is 268429105949. The reversal of 268429105920 is 29501924862.

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

It is a self number, because there is not a number n which added to its sum of digits gives 268429105920.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 537933831 + ... + 537934329.

It is an arithmetic number, because the mean of its divisors is an integer number (1607095000).

Almost surely, 2^268429105920 is an apocalyptic number.

268429105920 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 268429105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462843360000).

268429105920 is an abundant number, since it is smaller than the sum of its proper divisors (657257614080).

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

268429105920 is a wasteful number, since it uses less digits than its factorization.

268429105920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 268429105920 in words is "two hundred sixty-eight billion, four hundred twenty-nine million, one hundred five thousand, nine hundred twenty".