268404851520 has 504 divisors, whose sum is σ = 1009908814824. Its totient is φ = 65042030592.

The previous prime is 268404851501. The next prime is 268404851521. The reversal of 268404851520 is 25158404862.

268404851520 is a `hidden beast` number, since 2 + 6 + 8 + 40 + 4 + 85 + 1 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 312865344 + 268091986176 = 17688^2 + 517776^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268404851521) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 168067362 + ... + 168068958.

It is an arithmetic number, because the mean of its divisors is an integer number (2003787331).

Almost surely, 2^268404851520 is an apocalyptic number.

268404851520 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 268404851520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504954407412).

268404851520 is an abundant number, since it is smaller than the sum of its proper divisors (741503963304).

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

268404851520 is a wasteful number, since it uses less digits than its factorization.

268404851520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 268404851520 in words is "two hundred sixty-eight billion, four hundred four million, eight hundred fifty-one thousand, five hundred twenty".