268584770160 has 900 divisors, whose sum is σ = 1108380619368. Its totient is φ = 60350282496.

The previous prime is 268584770141. The next prime is 268584770183. The reversal of 268584770160 is 61077485862.

268584770160 is a `hidden beast` number, since 2 + 6 + 8 + 5 + 8 + 477 + 0 + 160 = 666.

268584770160 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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 268584770097 and 268584770106.

It is a congruent number.

It is an unprimeable number.

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 179 ways as a sum of consecutive naturals, for example, 4552284211 + ... + 4552284269.

Almost surely, 2^268584770160 is an apocalyptic number.

268584770160 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 268584770160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554190309684).

268584770160 is an abundant number, since it is smaller than the sum of its proper divisors (839795849208).

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

268584770160 is an frugal number, since it uses more digits than its factorization.

268584770160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 268584770160 in words is "two hundred sixty-eight billion, five hundred eighty-four million, seven hundred seventy thousand, one hundred sixty".