268851928950 has 768 divisors, whose sum is σ = 890364441600. Its totient is φ = 58906828800.

The previous prime is 268851928949. The next prime is 268851928951. The reversal of 268851928950 is 59829158862.

268851928950 is a `hidden beast` number, since 2 + 6 + 8 + 8 + 519 + 28 + 95 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (268851928949) and next prime (268851928951).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268851928951) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 999449416 + ... + 999449684.

It is an arithmetic number, because the mean of its divisors is an integer number (1159328700).

Almost surely, 2^268851928950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268851928950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445182220800).

268851928950 is an abundant number, since it is smaller than the sum of its proper divisors (621512512650).

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

268851928950 is a wasteful number, since it uses less digits than its factorization.

268851928950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 63.

The spelling of 268851928950 in words is "two hundred sixty-eight billion, eight hundred fifty-one million, nine hundred twenty-eight thousand, nine hundred fifty".