268298003372058 has 256 divisors, whose sum is σ = 707720807001600. Its totient is φ = 74406720061440.

The previous prime is 268298003372051. The next prime is 268298003372117. The reversal of 268298003372058 is 850273300892862.

268298003372058 is a `hidden beast` number, since 2 + 6 + 8 + 2 + 98 + 0 + 0 + 337 + 205 + 8 = 666.

It is a super-3 number, since 3×268298003372058³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 268298003371986 and 268298003372004.

It is not an unprimeable number, because it can be changed into a prime (268298003372051) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 618881598 + ... + 619314966.

It is an arithmetic number, because the mean of its divisors is an integer number (2764534402350).

Almost surely, 2^{268298003372058} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268298003372058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353860403500800).

268298003372058 is an abundant number, since it is smaller than the sum of its proper divisors (439422803629542).

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

268298003372058 is a wasteful number, since it uses less digits than its factorization.

268298003372058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435102 (or 435096 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 268298003372058 in words is "two hundred sixty-eight trillion, two hundred ninety-eight billion, three million, three hundred seventy-two thousand, fifty-eight".