268083824900 has 36 divisors (see below), whose sum is σ = 582290426340. Its totient is φ = 107132419200.

The previous prime is 268083824881. The next prime is 268083824909. The reversal of 268083824900 is 9428380862.

It can be written as a sum of positive squares in 6 ways, for example, as 552814144 + 267531010756 = 23512^2 + 517234^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

It is not an unprimeable number, because it can be changed into a prime (268083824909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1157255 + ... + 1369454.

It is an arithmetic number, because the mean of its divisors is an integer number (16174734065).

Almost surely, 2^268083824900 is an apocalyptic number.

268083824900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268083824900 is an abundant number, since it is smaller than the sum of its proper divisors (314206601440).

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

268083824900 is a wasteful number, since it uses less digits than its factorization.

268083824900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2527784 (or 2527777 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 50.

The spelling of 268083824900 in words is "two hundred sixty-eight billion, eighty-three million, eight hundred twenty-four thousand, nine hundred".