268139289600 has 2640 divisors, whose sum is σ = 1289953896000. Its totient is φ = 54623600640.

The previous prime is 268139289557. The next prime is 268139289631. The reversal of 268139289600 is 6982931862.

268139289600 is a `hidden beast` number, since 2 + 6 + 8 + 1 + 3 + 9 + 28 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9246182386 + ... + 9246182414.

It is an arithmetic number, because the mean of its divisors is an integer number (488618900).

Almost surely, 2^268139289600 is an apocalyptic number.

268139289600 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 268139289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644976948000).

268139289600 is an abundant number, since it is smaller than the sum of its proper divisors (1021814606400).

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

268139289600 is a wasteful number, since it uses less digits than its factorization.

268139289600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 268139289600 in words is "two hundred sixty-eight billion, one hundred thirty-nine million, two hundred eighty-nine thousand, six hundred".