268315507200 has 480 divisors, whose sum is σ = 1004820062400. Its totient is φ = 62568529920.

The previous prime is 268315507169. The next prime is 268315507301. The reversal of 268315507200 is 2705513862.

268315507200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×268315507200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9470656 + ... + 9498944.

It is an arithmetic number, because the mean of its divisors is an integer number (2093375130).

Almost surely, 2^268315507200 is an apocalyptic number.

268315507200 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 268315507200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502410031200).

268315507200 is an abundant number, since it is smaller than the sum of its proper divisors (736504555200).

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

268315507200 is a wasteful number, since it uses less digits than its factorization.

268315507200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28352 (or 28331 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 268315507200 in words is "two hundred sixty-eight billion, three hundred fifteen million, five hundred seven thousand, two hundred".