268414528800 has 288 divisors, whose sum is σ = 954861384960. Its totient is φ = 64951014400.

The previous prime is 268414528771. The next prime is 268414528801. The reversal of 268414528800 is 8825414862.

268414528800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 268414528800.

It is not an unprimeable number, because it can be changed into a prime (268414528801) by changing a digit.

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, 14854171 + ... + 14872229.

It is an arithmetic number, because the mean of its divisors is an integer number (3315490920).

Almost surely, 2^268414528800 is an apocalyptic number.

268414528800 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 268414528800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477430692480).

268414528800 is an abundant number, since it is smaller than the sum of its proper divisors (686446856160).

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

268414528800 is a wasteful number, since it uses less digits than its factorization.

268414528800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18656 (or 18643 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 48.

The spelling of 268414528800 in words is "two hundred sixty-eight billion, four hundred fourteen million, five hundred twenty-eight thousand, eight hundred".