268108738560 has 1248 divisors, whose sum is σ = 1093636108800. Its totient is φ = 62108467200.

The previous prime is 268108738529. The next prime is 268108738567. The reversal of 268108738560 is 65837801862.

268108738560 is a `hidden beast` number, since 2 + 6 + 8 + 1 + 0 + 8 + 73 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

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

It is a junction number, because it is equal to n+sod(n) for n = 268108738497 and 268108738506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268108738567) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1775554485 + ... + 1775554635.

Almost surely, 2^268108738560 is an apocalyptic number.

268108738560 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 268108738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546818054400).

268108738560 is an abundant number, since it is smaller than the sum of its proper divisors (825527370240).

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

268108738560 is a wasteful number, since it uses less digits than its factorization.

268108738560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 268108738560 in words is "two hundred sixty-eight billion, one hundred eight million, seven hundred thirty-eight thousand, five hundred sixty".