268256001600 has 504 divisors, whose sum is σ = 1019427252480. Its totient is φ = 66667069440.

The previous prime is 268256001593. The next prime is 268256001649. The reversal of 268256001600 is 6100652862.

268256001600 is a `hidden beast` number, since 2 + 6 + 82 + 560 + 0 + 16 + 0 + 0 = 666.

It is a super-2 number, since 2×268256001600² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25209081 + ... + 25219719.

It is an arithmetic number, because the mean of its divisors is an integer number (2022673120).

Almost surely, 2^268256001600 is an apocalyptic number.

268256001600 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 268256001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509713626240).

268256001600 is an abundant number, since it is smaller than the sum of its proper divisors (751171250880).

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

268256001600 is a wasteful number, since it uses less digits than its factorization.

268256001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10787 (or 10769 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 268256001600 in words is "two hundred sixty-eight billion, two hundred fifty-six million, one thousand, six hundred".