268725395520 has 168 divisors, whose sum is σ = 924666416856. Its totient is φ = 71631962112.

The previous prime is 268725395513. The next prime is 268725395593. The reversal of 268725395520 is 25593527862.

It is a happy number.

268725395520 is a `hidden beast` number, since 2 + 6 + 8 + 7 + 25 + 3 + 95 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 115556484096 + 153168911424 = 339936^2 + 391368^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7911694 + ... + 7945586.

It is an arithmetic number, because the mean of its divisors is an integer number (5503966767).

Almost surely, 2^268725395520 is an apocalyptic number.

268725395520 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 268725395520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462333208428).

268725395520 is an abundant number, since it is smaller than the sum of its proper divisors (655941021336).

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

268725395520 is a wasteful number, since it uses less digits than its factorization.

268725395520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36669 (or 36656 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 268725395520 in words is "two hundred sixty-eight billion, seven hundred twenty-five million, three hundred ninety-five thousand, five hundred twenty".