268100273756 has 96 divisors (see below), whose sum is σ = 575897548800. Its totient is φ = 106661836800.

The previous prime is 268100273717. The next prime is 268100273773. The reversal of 268100273756 is 657372001862.

It is a self number, because there is not a number n which added to its sum of digits gives 268100273756.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5186285 + ... + 5237723.

It is an arithmetic number, because the mean of its divisors is an integer number (5998932800).

Almost surely, 2^268100273756 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 268100273756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287948774400).

268100273756 is an abundant number, since it is smaller than the sum of its proper divisors (307797275044).

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

268100273756 is a wasteful number, since it uses less digits than its factorization.

268100273756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51667 (or 51665 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 47.

The spelling of 268100273756 in words is "two hundred sixty-eight billion, one hundred million, two hundred seventy-three thousand, seven hundred fifty-six".