268660710051600 has 60 divisors (see below), whose sum is σ = 860609807869136. Its totient is φ = 71642856013440.

The previous prime is 268660710051599. The next prime is 268660710051607. The reversal of 268660710051600 is 6150017066862.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 268660710051600.

It is not an unprimeable number, because it can be changed into a prime (268660710051607) 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 11 ways as a sum of consecutive naturals, for example, 111941961322 + ... + 111941963721.

Almost surely, 2^{268660710051600} is an apocalyptic number.

268660710051600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268660710051600 is an abundant number, since it is smaller than the sum of its proper divisors (591949097817536).

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

268660710051600 is a wasteful number, since it uses less digits than its factorization.

268660710051600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223883925064 (or 223883925053 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 268660710051600 in words is "two hundred sixty-eight trillion, six hundred sixty billion, seven hundred ten million, fifty-one thousand, six hundred".