268422520320 has 120 divisors (see below), whose sum is σ = 929622761496. Its totient is φ = 71579332608.

The previous prime is 268422520283. The next prime is 268422520321. The reversal of 268422520320 is 23025224862.

268422520320 is a `hidden beast` number, since 2 + 6 + 8 + 422 + 5 + 203 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (268422520321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5802102 + ... + 5848181.

Almost surely, 2^268422520320 is an apocalyptic number.

268422520320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268422520320 is an abundant number, since it is smaller than the sum of its proper divisors (661200241176).

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

268422520320 is a wasteful number, since it uses less digits than its factorization.

268422520320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11650312 (or 11650293 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 268422520320 in words is "two hundred sixty-eight billion, four hundred twenty-two million, five hundred twenty thousand, three hundred twenty".