268166057220 has 72 divisors (see below), whose sum is σ = 813715418880. Its totient is φ = 71486475840.

The previous prime is 268166057153. The next prime is 268166057227. The reversal of 268166057220 is 22750661862.

268166057220 is a `hidden beast` number, since 2 + 6 + 8 + 16 + 60 + 572 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (268166057227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275565 + ... + 782475.

It is an arithmetic number, because the mean of its divisors is an integer number (11301603040).

Almost surely, 2^268166057220 is an apocalyptic number.

268166057220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268166057220 is an abundant number, since it is smaller than the sum of its proper divisors (545549361660).

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

268166057220 is a wasteful number, since it uses less digits than its factorization.

268166057220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509865 (or 509860 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 268166057220 in words is "two hundred sixty-eight billion, one hundred sixty-six million, fifty-seven thousand, two hundred twenty".