268476120000 has 1400 divisors, whose sum is σ = 1124504443392. Its totient is φ = 62985600000.

The previous prime is 268476119981. The next prime is 268476120001. The reversal of 268476120000 is 21674862.

268476120000 is a `hidden beast` number, since 2 + 68 + 476 + 120 + 0 + 0 + 0 = 666.

268476120000 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268476120001) 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 199 ways as a sum of consecutive naturals, for example, 8660519985 + ... + 8660520015.

Almost surely, 2^268476120000 is an apocalyptic number.

268476120000 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 268476120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562252221696).

268476120000 is an abundant number, since it is smaller than the sum of its proper divisors (856028323392).

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

268476120000 is an frugal number, since it uses more digits than its factorization.

268476120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 268476120000 its reverse (21674862), we get a palindrome (268497794862).

The spelling of 268476120000 in words is "two hundred sixty-eight billion, four hundred seventy-six million, one hundred twenty thousand".