268582821696 has 252 divisors, whose sum is σ = 928570529952. Its totient is φ = 72698715648.

The previous prime is 268582821691. The next prime is 268582821751. The reversal of 268582821696 is 696128285862.

268582821696 is a `hidden beast` number, since 26 + 8 + 582 + 8 + 21 + 6 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×268582821696² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268582821691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1363291 + ... + 1547813.

Almost surely, 2^268582821696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268582821696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464285264976).

268582821696 is an abundant number, since it is smaller than the sum of its proper divisors (659987708256).

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

268582821696 is a wasteful number, since it uses less digits than its factorization.

268582821696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184586 (or 184554 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 63.

The spelling of 268582821696 in words is "two hundred sixty-eight billion, five hundred eighty-two million, eight hundred twenty-one thousand, six hundred ninety-six".