268961246520 has 256 divisors, whose sum is σ = 887712998400. Its totient is φ = 64888750080.

The previous prime is 268961246509. The next prime is 268961246531. The reversal of 268961246520 is 25642169862.

It is an interprime number because it is at equal distance from previous prime (268961246509) and next prime (268961246531).

It is a super-2 number, since 2×268961246520² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35288310 + ... + 35295930.

It is an arithmetic number, because the mean of its divisors is an integer number (3467628900).

Almost surely, 2^268961246520 is an apocalyptic number.

268961246520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268961246520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443856499200).

268961246520 is an abundant number, since it is smaller than the sum of its proper divisors (618751751880).

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

268961246520 is a wasteful number, since it uses less digits than its factorization.

268961246520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8350 (or 8346 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 268961246520 in words is "two hundred sixty-eight billion, nine hundred sixty-one million, two hundred forty-six thousand, five hundred twenty".